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(./page.out) (./page.out) \openout3 = `page.out'. \lgwproofline=\count104 \lgwproofline=\count105 \lgwproofline=\count106 \lgwproofline=\count107 \lgwproofline=\count108 \lgwproofline=\count109 \lgwproofline=\count110 [1 ] \lgwproofline=\count111 \lgwproofline=\count112 \lgwproofline=\count113 \lgwproofline=\count114 \lgwproofline=\count115 \lgwproofline=\count116 \lgwproofline=\count117 [2] \lgwproofline=\count118 \lgwproofline=\count119 Overfull \hbox (31.59044pt too wide) in paragraph at lines 2604--2629 []$\OT1/cmr/m/n/10 [SystemQ[]Induction: ^^EV[]\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/ 10 A\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 B\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 C\ OT1/cmr/m/n/10 : \OMS/cmsy/m/n/10 hB[]Aj\OT1/cmr/m/n/10 V[][]0\OMS/cmsy/m/n/10 i[] [] hC[]Aj\OT1/cmr/m/n/10 V[][](V[] +| [] \lgwproofline=\count120 Overfull \hbox (111.00006pt too wide) in paragraph at lines 2864--2912 []$\OT1/cmr/m/n/10 [SystemQ[]ToSeries: ^^EFX\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY): \OMS/cmsy/m/n/10 8\OT1/cmr/m/n/10 (R1ob): ((R1ob) [] FX \OMS/cmsy/m/n/10 ) \OT1/cmr/m/n/10 IsOrderedPair((R1ob)\OML/cmm/m/it/10 ; 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\OT1/cmr/m/n/10 (OP2ob))) ) []| [] Underfull \hbox (badness 10000) in paragraph at lines 3494--3494 \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 8\OT1/cmr/m/n/10 (F1ob)\OML/cmm/m/it/10 ; \OT 1/cmr/m/n/10 (F2ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (F3ob)\OML/cmm/m/it/10 ; [] Overfull \hbox (35.41908pt too wide) in paragraph at lines 3494--3494 \OT1/cmr/m/n/10 (F4ob): (OrderedPair((F1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 ( F2ob)) []| [] Underfull \hbox (badness 10000) in paragraph at lines 3494--3494 \OT1/cmr/m/n/10 FX \OMS/cmsy/m/n/10 ) [] Underfull \hbox (badness 10000) in paragraph at lines 3494--3494 \OT1/cmr/m/n/10 (F2ob) = (F4ob))) [] [] Underfull \hbox (badness 6675) in paragraph at lines 3494--3494 \OMS/cmsy/m/n/10 8\OT1/cmr/m/n/10 (S1ob): ((S1ob) [] N \OMS/cmsy/m/n/10 ) [] Overfull \hbox (34.16907pt too wide) in paragraph at lines 3494--3494 \OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (S2ob): OrderedPair((S1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (S2ob)) []| [] [4] Overfull \hbox (35.38066pt too wide) in paragraph at lines 3549--3571 []$\OT1/cmr/m/n/10 [SystemQ[]IntroExist(Helper): ^^E\OMS/cmsy/m/n/10 X\OML/cmm/ m/it/10 ; \OT1/cmr/m/n/10 V[]\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 A\OML/cmm/m/it /10 ; \OMS/cmsy/m/n/10 B\OT1/cmr/m/n/10 : \OMS/cmsy/m/n/10 h[] \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 A\OT1/cmr/m/n/10 )n[][] (\OMS/cmsy/m/n/10 B\OT1/cmr/m/n/10 )n \OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 V[][]\OMS/cmsy/m/n/10 Xi[] []| [] \lgwproofline=\count123 [5] \lgwproofline=\count124 \lgwproofline=\count125 Underfull \hbox (badness 2662) in paragraph at lines 4206--4206 []$\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 A ) B\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 ) 9\OT1/cmr/m/n/10 V[]: \OMS/cmsy/m/n/10 A ) [] \lgwproofline=\count126 \lgwproofline=\count127 [6] \lgwproofline=\count128 \lgwproofline=\count129 \lgwproofline=\count130 \lgwproofline=\count131 [7] \lgwproofline=\count132 \lgwproofline=\count133 Overfull \hbox (1.38884pt too wide) in paragraph at lines 5876--5888 []$\OT1/cmr/m/n/10 [SystemQ[]ToSingleton: ^^E(SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/ n/10 (SY): (SX) = (SY) \OMS/cmsy/m/n/10 ` \OT1/cmr/m/n/10 (SX) [] (s(SY))]$ | [] \lgwproofline=\count134 Overfull \hbox (22.7223pt too wide) in paragraph at lines 6036--6049 []$\OT1/cmr/m/n/10 [SystemQ[]FromSameSingleton: ^^E(SX)\OML/cmm/m/it/10 ; \OT1/ cmr/m/n/10 (SY): (s(SX)) = (s(SY)) \OMS/cmsy/m/n/10 ` \OT1/cmr/m/n/10 (SX) =| [] \lgwproofline=\count135 Overfull \hbox (13.22249pt too wide) in paragraph at lines 6219--6234 []$\OT1/cmr/m/n/10 [SystemQ[]SingletonmembersEqual: ^^E(SX)\OML/cmm/m/it/10 ; \ OT1/cmr/m/n/10 (SY)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ): (p(SX)\OML/cmm/m/it /10 ; \OT1/cmr/m/n/10 (SY)) =| [] \lgwproofline=\count136 Overfull \hbox (8.33347pt too wide) in paragraph at lines 6493--6508 []$\OT1/cmr/m/n/10 [SystemQ[]UnequalsNotInSingleton: ^^E(SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ): (SX) \OMS/cmsy/m/n /10 6\OT1/cmr/m/n/10 = (SY) \OMS/cmsy/m/n/10 `| [] [8] \lgwproofline=\count137 Underfull \hbox (badness 1661) in paragraph at lines 6618--6618 []$\OT1/cmr/m/n/10 (p(SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = (s(SZ)) \OM S/cmsy/m/n/10 ) [] Overfull \hbox (16.47252pt too wide) in paragraph at lines 6711--6725 []$\OT1/cmr/m/n/10 [SystemQ[]NonsingletonmembersUnequal: ^^E(SX)\OML/cmm/m/it/1 0 ; \OT1/cmr/m/n/10 (SY): (p(SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) \OMS/c msy/m/n/10 6\OT1/cmr/m/n/10 =| [] \lgwproofline=\count138 Underfull \hbox (badness 10000) in paragraph at lines 6900--6900 []$\OT1/cmr/m/n/10 (SX) = (SY) \OMS/cmsy/m/n/10 ) [] Underfull \hbox (badness 10000) in paragraph at lines 6900--6900 \OT1/cmr/m/n/10 (p(SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = (s(SX))$ [] Overfull \hbox (70.00034pt too wide) in paragraph at lines 6993--7012 []$\OT1/cmr/m/n/10 [SystemQ[]FromOrderedPair: ^^E(SX)\OML/cmm/m/it/10 ; \OT1/cm r/m/n/10 (SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)\OML/cmm/m/it/10 ; \OT1/cm r/m/n/10 (SY1): OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) =| [] \lgwproofline=\count139 Underfull \hbox (badness 10000) in paragraph at lines 7068--7068 []$\OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = [] Underfull \hbox (badness 10000) in paragraph at lines 7098--7098 []$\OT1/cmr/m/n/10 (p(s(SX))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (p(SX)\OML/cmm/m /it/10 ; \OT1/cmr/m/n/10 (SY))) = [] Underfull \hbox (badness 10000) in paragraph at lines 7142--7142 []$\OT1/cmr/m/n/10 (p(SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SX1)) = [] Underfull \hbox (badness 10000) in paragraph at lines 7216--7216 []$\OT1/cmr/m/n/10 (p(s(SX1))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (s(SX1))) = [] Underfull \hbox (badness 10000) in paragraph at lines 7243--7243 []$\OT1/cmr/m/n/10 (s(s(SX1))) = [] Underfull \hbox (badness 10000) in paragraph at lines 7303--7303 []$\OT1/cmr/m/n/10 (p(s(SX))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (p(SX)\OML/cmm/m /it/10 ; \OT1/cmr/m/n/10 (SY))) = [] Underfull \hbox (badness 10000) in paragraph at lines 7323--7323 []$\OT1/cmr/m/n/10 (s(SX)) [] [] Underfull \hbox (badness 10000) in paragraph at lines 7323--7323 \OT1/cmr/m/n/10 (p(s(SX))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (p(SX)\OML/cmm/m/it /10 ; \OT1/cmr/m/n/10 (SY)))$ [] Underfull \hbox (badness 10000) in paragraph at lines 7473--7473 []$\OT1/cmr/m/n/10 (p(s(SX))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (p(SX)\OML/cmm/m /it/10 ; \OT1/cmr/m/n/10 (SY))) = [] Underfull \hbox (badness 10000) in paragraph at lines 7494--7494 []$\OT1/cmr/m/n/10 (p(SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) [] [] Underfull \hbox (badness 10000) in paragraph at lines 7494--7494 \OT1/cmr/m/n/10 (p(s(SX))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (p(SX)\OML/cmm/m/it /10 ; \OT1/cmr/m/n/10 (SY)))$ [] Underfull \hbox (badness 10000) in paragraph at lines 7704--7704 []$\OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = [] Underfull \hbox (badness 10000) in paragraph at lines 7734--7734 []$\OT1/cmr/m/n/10 (p(s(SX))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (p(SX)\OML/cmm/m /it/10 ; \OT1/cmr/m/n/10 (SY))) = [] Underfull \hbox (badness 10000) in paragraph at lines 7754--7754 []$\OT1/cmr/m/n/10 (s(SX)) [] [] Underfull \hbox (badness 10000) in paragraph at lines 7754--7754 \OT1/cmr/m/n/10 (p(s(SX))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (p(SX)\OML/cmm/m/it /10 ; \OT1/cmr/m/n/10 (SY)))$ [] Underfull \hbox (badness 10000) in paragraph at lines 7786--7786 []$\OT1/cmr/m/n/10 (s(SX)) [] [] Underfull \hbox (badness 10000) in paragraph at lines 7813--7813 []$\OT1/cmr/m/n/10 (s(SX)) = (s(SX1)) [] [] Underfull \hbox (badness 6775) in paragraph at lines 7813--7813 \OT1/cmr/m/n/10 (s(SX)) = (p(SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1))$ [] Underfull \hbox (badness 10000) in paragraph at lines 7928--7928 []$\OT1/cmr/m/n/10 (p(SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1)) [] [] Underfull \hbox (badness 10000) in paragraph at lines 7961--7961 []$\OT1/cmr/m/n/10 (p(SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1)) [] [] Underfull \hbox (badness 10000) in paragraph at lines 7961--7961 \OT1/cmr/m/n/10 (p(s(SX))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (p(SX)\OML/cmm/m/it /10 ; \OT1/cmr/m/n/10 (SY)))$ [] Underfull \hbox (badness 10000) in paragraph at lines 7990--7990 []$\OT1/cmr/m/n/10 (p(SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1)) = [] Underfull \hbox (badness 10000) in paragraph at lines 8020--8020 []$\OT1/cmr/m/n/10 (p(SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1)) = [] Overfull \hbox (1.86353pt too wide) in paragraph at lines 8155--8155 [][]$\OT1/cmr/m/n/10 NonsingletonmembersUnequal \U/lasy/m/n/10 ^^C | [] Underfull \hbox (badness 10000) in paragraph at lines 8310--8310 []$\OT1/cmr/m/n/10 (SX1) = (SY1) \OMS/cmsy/m/n/10 ) [] Underfull \hbox (badness 10000) in paragraph at lines 8310--8310 \OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = [] Underfull \hbox (badness 1960) in paragraph at lines 8310--8310 \OT1/cmr/m/n/10 OrderedPair((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1)) \OMS /cmsy/m/n/10 ) [] Underfull \hbox (badness 10000) in paragraph at lines 8340--8340 []$\OT1/cmr/m/n/10 (SX1) \OMS/cmsy/m/n/10 6\OT1/cmr/m/n/10 = (SY1) \OMS/cmsy/m/ n/10 ) [] Underfull \hbox (badness 10000) in paragraph at lines 8340--8340 \OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = [] Underfull \hbox (badness 1960) in paragraph at lines 8340--8340 \OT1/cmr/m/n/10 OrderedPair((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1)) \OMS /cmsy/m/n/10 ) [] Underfull \hbox (badness 10000) in paragraph at lines 8354--8354 []$\OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = [] Underfull \hbox (badness 10000) in paragraph at lines 8388--8388 []$\OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = [] Underfull \hbox (badness 1960) in paragraph at lines 8388--8388 \OT1/cmr/m/n/10 OrderedPair((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1)) \OMS /cmsy/m/n/10 ) [] [9] [10] Overfull \hbox (82.77815pt too wide) in paragraph at lines 8470--8487 []$\OT1/cmr/m/n/10 [SystemQ[]FromOrderedPair(1): ^^E(SX)\OML/cmm/m/it/10 ; \OT1 /cmr/m/n/10 (SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)\OML/cmm/m/it/10 ; \OT1 /cmr/m/n/10 (SY1): OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) =| [] \lgwproofline=\count140 Underfull \hbox (badness 10000) in paragraph at lines 8522--8522 []$\OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = [] [11] Overfull \hbox (82.77815pt too wide) in paragraph at lines 8618--8635 []$\OT1/cmr/m/n/10 [SystemQ[]FromOrderedPair(2): ^^E(SX)\OML/cmm/m/it/10 ; \OT1 /cmr/m/n/10 (SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)\OML/cmm/m/it/10 ; \OT1 /cmr/m/n/10 (SY1): OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) =| [] \lgwproofline=\count141 Underfull \hbox (badness 10000) in paragraph at lines 8670--8670 []$\OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = [] Overfull \hbox (7.19443pt too wide) in paragraph at lines 8767--8781 []$\OT1/cmr/m/n/10 [SystemQ[]SameMember(2): ^^E(SX)\OML/cmm/m/it/10 ; \OT1/cmr/ m/n/10 (SY)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ): (SX) = (SY) \OMS/cmsy/m/n/1 0 ` \OT1/cmr/m/n/10 (SY) []| [] \lgwproofline=\count142 Overfull \hbox (6.50012pt too wide) in paragraph at lines 8921--8936 []$\OT1/cmr/m/n/10 [SystemQ[]ToBinaryUnion(1): ^^E(SX)\OML/cmm/m/it/10 ; \OT1/c mr/m/n/10 (SY)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ)\OML/cmm/m/it/10 ; \OT1/cm r/m/n/10 (SU): (SX) [] (SY) \OMS/cmsy/m/n/10 `| [] \lgwproofline=\count143 Underfull \hbox (badness 2680) in paragraph at lines 9013--9013 []$\OT1/cmr/m/n/10 (SX) [] (SY) [] (SY) [] [] Underfull \hbox (badness 10000) in paragraph at lines 9084--9084 []$\OT1/cmr/m/n/10 (SX) [] [] Overfull \hbox (5.11122pt too wide) in paragraph at lines 9141--9156 []$\OT1/cmr/m/n/10 [SystemQ[]ToBinaryUnion(2): ^^E(SX)\OML/cmm/m/it/10 ; \OT1/c mr/m/n/10 (SY)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ)\OML/cmm/m/it/10 ; \OT1/cm r/m/n/10 (SU): (SX) [] (SZ) \OMS/cmsy/m/n/10 `| [] \lgwproofline=\count144 Underfull \hbox (badness 3260) in paragraph at lines 9234--9234 []$\OT1/cmr/m/n/10 (SX) [] (SZ) [] (SZ) [] [] Underfull \hbox (badness 10000) in paragraph at lines 9305--9305 []$\OT1/cmr/m/n/10 (SX) [] [] Overfull \hbox (24.41689pt too wide) in paragraph at lines 9360--9379 []$\OT1/cmr/m/n/10 [SystemQ[]FromOrderedPair(TwoLevels): ^^E(SX)\OML/cmm/m/it/1 0 ; \OT1/cmr/m/n/10 (SY)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SU): (SX) []| [] \lgwproofline=\count145 Underfull \hbox (badness 10000) in paragraph at lines 9422--9422 []$\OT1/cmr/m/n/10 (SY) [] [] Underfull \hbox (badness 10000) in paragraph at lines 9447--9447 []$\OT1/cmr/m/n/10 (SY) [] [] Underfull \hbox (badness 6204) in paragraph at lines 9755--9755 []$\OT1/cmr/m/n/10 (SY) = (p(SZ)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SU)) \OMS/c msy/m/n/10 ) [] [12] Overfull \hbox (73.22267pt too wide) in paragraph at lines 9876--9888 []$\OT1/cmr/m/n/10 [SystemQ[]CartProdIsRelation: ^^E(SX)\OML/cmm/m/it/10 ; \OT1 /cmr/m/n/10 (SY): IsRelation(cartProd((SX))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 ( SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY))]$ | [] \lgwproofline=\count146 Underfull \hbox (badness 10000) in paragraph at lines 9957--9957 []$\OT1/cmr/m/n/10 (R1ob) [] [] Overfull \hbox (48.47462pt too wide) in paragraph at lines 9957--9957 \OT1/cmr/m/n/10 Power(Power(binaryUnion((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)))) []| [] Overfull \hbox (12.41902pt too wide) in paragraph at lines 9957--9957 \OT1/cmr/m/n/10 IsOrderedPair((R1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SX)\OML /cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY))$| [] Overfull \hbox (12.41902pt too wide) in paragraph at lines 9978--9978 []$\OT1/cmr/m/n/10 IsOrderedPair((R1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SX)\ OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY))$| [] Overfull \hbox (12.41902pt too wide) in paragraph at lines 10024--10024 \OT1/cmr/m/n/10 IsOrderedPair((R1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SX)\OML /cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY))$| [] Underfull \hbox (badness 10000) in paragraph at lines 10052--10052 []$\OMS/cmsy/m/n/10 8\OT1/cmr/m/n/10 (R1ob): ((R1ob) [] [] Underfull \hbox (badness 10000) in paragraph at lines 10052--10052 \OT1/cmr/m/n/10 cartProd((SX)) \OMS/cmsy/m/n/10 ) [] Overfull \hbox (16.30792pt too wide) in paragraph at lines 10052--10052 \OT1/cmr/m/n/10 IsOrderedPair((R1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SX)\OML /cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)))$| [] Overfull \hbox (32.11354pt too wide) in paragraph at lines 10074--10074 []$\OT1/cmr/m/n/10 IsRelation(cartProd((SX))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY))$| [] [13] Overfull \hbox (21.1112pt too wide) in paragraph at lines 10129--10144 []$\OT1/cmr/m/n/10 [SystemQ[]FromSubset: ^^E(SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n /10 (SY)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ): IsSubset((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) \OMS/cmsy/m/n/10 ` \OT1/cmr/m/n/10 (SZ) []| [] \lgwproofline=\count147 Underfull \hbox (badness 1484) in paragraph at lines 10210--10210 []$\OMS/cmsy/m/n/10 8\OT1/cmr/m/n/10 (S1ob): ((S1ob) [] (SX) \OMS/cmsy/m/n/10 ) [] Overfull \hbox (67.88913pt too wide) in paragraph at lines 10313--10333 []$\OT1/cmr/m/n/10 [SystemQ[]SubsetIsRelation: ^^E(SX)\OML/cmm/m/it/10 ; \OT1/c mr/m/n/10 (SY)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ)\OML/cmm/m/it/10 ; \OT1/cm r/m/n/10 (SU): IsRelation((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ)\OML/cmm/m /it/10 ; \OT1/cmr/m/n/10 (SU)) \OMS/cmsy/m/n/10 `| [] \lgwproofline=\count148 Overfull \hbox (14.91902pt too wide) in paragraph at lines 10425--10425 \OT1/cmr/m/n/10 IsOrderedPair((R1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ)\OML /cmm/m/it/10 ; \OT1/cmr/m/n/10 (SU)))$| [] Underfull \hbox (badness 10000) in paragraph at lines 10450--10450 []$\OT1/cmr/m/n/10 (R1ob) [] (SX) \OMS/cmsy/m/n/10 ) [] Overfull \hbox (11.03012pt too wide) in paragraph at lines 10450--10450 \OT1/cmr/m/n/10 IsOrderedPair((R1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ)\OML /cmm/m/it/10 ; \OT1/cmr/m/n/10 (SU))$| [] Overfull \hbox (11.03012pt too wide) in paragraph at lines 10503--10503 []$\OT1/cmr/m/n/10 IsOrderedPair((R1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ)\ OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SU))$| [] Underfull \hbox (badness 10000) in paragraph at lines 10557--10557 \OT1/cmr/m/n/10 IsSubset((SY)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SX)) \OMS/cmsy /m/n/10 ) [] Underfull \hbox (badness 10000) in paragraph at lines 10557--10557 \OT1/cmr/m/n/10 (R1ob) [] (SY) \OMS/cmsy/m/n/10 ) [] Overfull \hbox (11.03012pt too wide) in paragraph at lines 10557--10557 \OT1/cmr/m/n/10 IsOrderedPair((R1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ)\OML /cmm/m/it/10 ; \OT1/cmr/m/n/10 (SU))$| [] Underfull \hbox (badness 10000) in paragraph at lines 10616--10616 []$\OT1/cmr/m/n/10 (R1ob) [] (SY) \OMS/cmsy/m/n/10 ) [] Overfull \hbox (11.03012pt too wide) in paragraph at lines 10616--10616 \OT1/cmr/m/n/10 IsOrderedPair((R1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ)\OML /cmm/m/it/10 ; \OT1/cmr/m/n/10 (SU))$| [] Overfull \hbox (14.91902pt too wide) in paragraph at lines 10643--10643 \OT1/cmr/m/n/10 IsOrderedPair((R1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ)\OML /cmm/m/it/10 ; \OT1/cmr/m/n/10 (SU)))$| [] [14] Overfull \hbox (4.09602pt too wide) in paragraph at lines 10719--10734 []$\OT1/cmr/m/n/10 [SystemQ[]CPseparationIsRelation: ^^E\OMS/cmsy/m/n/10 A\OML/ cmm/m/it/10 ; \OT1/cmr/m/n/10 (SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY): IsRe lation(\OMS/cmsy/m/n/10 f\OT1/cmr/m/n/10 ph []| [] \lgwproofline=\count149 Underfull \hbox (badness 10000) in paragraph at lines 10778--10778 []$\OT1/cmr/m/n/10 (S1ob) [] \OMS/cmsy/m/n/10 f\OT1/cmr/m/n/10 ph [] [] Underfull \hbox (badness 4013) in paragraph at lines 10849--10849 []$\OMS/cmsy/m/n/10 8\OT1/cmr/m/n/10 (S1ob): ((S1ob) [] \OMS/cmsy/m/n/10 f\OT1/ cmr/m/n/10 ph [] [] Underfull \hbox (badness 10000) in paragraph at lines 10849--10849 \OT1/cmr/m/n/10 cartProd((SX)) \OMS/cmsy/m/n/10 j Ag ) [] Underfull \hbox (badness 10000) in paragraph at lines 10874--10874 []$\OT1/cmr/m/n/10 IsSubset(\OMS/cmsy/m/n/10 f\OT1/cmr/m/n/10 ph [] [] Underfull \hbox (badness 10000) in paragraph at lines 10874--10874 \OT1/cmr/m/n/10 cartProd((SX)) \OMS/cmsy/m/n/10 j [] Overfull \hbox (32.11354pt too wide) in paragraph at lines 10891--10891 []$\OT1/cmr/m/n/10 IsRelation(cartProd((SX))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY))$| [] Underfull \hbox (badness 10000) in paragraph at lines 10921--10921 []$\OT1/cmr/m/n/10 IsRelation(\OMS/cmsy/m/n/10 f\OT1/cmr/m/n/10 ph [] [] Underfull \hbox (badness 10000) in paragraph at lines 10921--10921 \OT1/cmr/m/n/10 cartProd((SX)) \OMS/cmsy/m/n/10 j [] Overfull \hbox (18.778pt too wide) in paragraph at lines 10977--11000 []$\OT1/cmr/m/n/10 [SystemQ[]ToCartProd(Helper): ^^E(SX)\OML/cmm/m/it/10 ; \OT1 /cmr/m/n/10 (SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)\OML/cmm/m/it/10 ; \OT1 /cmr/m/n/10 (SY1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SZ): (SX) []| [] Overfull \hbox (103.41689pt too wide) in paragraph at lines 10977--11000 \OT1/cmr/m/n/10 (SX1) \OMS/cmsy/m/n/10 ` \OT1/cmr/m/n/10 (SY) [] (SY1) \OMS/cms y/m/n/10 ` \OT1/cmr/m/n/10 (SZ) [] OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/ m/n/10 (SY)) \OMS/cmsy/m/n/10 ` \OT1/cmr/m/n/10 IsSubset((SZ)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1)))]$ | [] \lgwproofline=\count150 Underfull \hbox (badness 10000) in paragraph at lines 11065--11065 []$\OT1/cmr/m/n/10 (SZ) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11191--11191 []$\OT1/cmr/m/n/10 (S1ob) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11191--11191 \OT1/cmr/m/n/10 binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1))$ [] Underfull \hbox (badness 10000) in paragraph at lines 11291--11291 []$\OT1/cmr/m/n/10 (S1ob) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11291--11291 \OT1/cmr/m/n/10 binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1))$ [] Underfull \hbox (badness 10000) in paragraph at lines 11329--11329 \OT1/cmr/m/n/10 (SX) \OMS/cmsy/m/n/10 ) \OT1/cmr/m/n/10 (S1ob) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11329--11329 \OT1/cmr/m/n/10 binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1))$ [] Underfull \hbox (badness 10000) in paragraph at lines 11385--11385 \OT1/cmr/m/n/10 (SY) \OMS/cmsy/m/n/10 ) \OT1/cmr/m/n/10 (S1ob) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11385--11385 \OT1/cmr/m/n/10 binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1))$ [] Underfull \hbox (badness 10000) in paragraph at lines 11448--11448 []$\OT1/cmr/m/n/10 (S1ob) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11448--11448 \OT1/cmr/m/n/10 binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1))$ [] Underfull \hbox (badness 10000) in paragraph at lines 11504--11504 []$\OT1/cmr/m/n/10 (SX) [] (SX1) \OMS/cmsy/m/n/10 ) [] Underfull \hbox (badness 1552) in paragraph at lines 11504--11504 \OT1/cmr/m/n/10 (SY) [] (SY1) \OMS/cmsy/m/n/10 ) \OT1/cmr/m/n/10 (SZ) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11504--11504 \OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) \OMS/c msy/m/n/10 ) [] Underfull \hbox (badness 10000) in paragraph at lines 11536--11536 []$\OT1/cmr/m/n/10 (SZ) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11605--11605 []$\OMS/cmsy/m/n/10 8\OT1/cmr/m/n/10 (S1ob): ((S1ob) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11605--11605 \OT1/cmr/m/n/10 (SZ) \OMS/cmsy/m/n/10 ) \OT1/cmr/m/n/10 (S1ob) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11605--11605 \OT1/cmr/m/n/10 binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1)))$ [] Overfull \hbox (48.53027pt too wide) in paragraph at lines 11627--11627 []$\OT1/cmr/m/n/10 IsSubset((SZ)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 binaryUnion( (SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1)))$| [] [15] [16] \lgwproofline=\count151 Underfull \hbox (badness 10000) in paragraph at lines 11766--11766 []$\OT1/cmr/m/n/10 (S1ob) [] [] Overfull \hbox (57.97476pt too wide) in paragraph at lines 11801--11801 []$\OT1/cmr/m/n/10 IsSubset((S1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 binaryUnio n((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1)))$| [] Underfull \hbox (badness 10000) in paragraph at lines 11823--11823 []$\OT1/cmr/m/n/10 (S1ob) [] [] Overfull \hbox (14.69688pt too wide) in paragraph at lines 11823--11823 \OT1/cmr/m/n/10 Power(binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1) ))$| [] Underfull \hbox (badness 1371) in paragraph at lines 11877--11877 []$\OT1/cmr/m/n/10 (SX) [] (SX1) \OMS/cmsy/m/n/10 ) \OT1/cmr/m/n/10 (SY) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11877--11877 \OT1/cmr/m/n/10 (SY1) \OMS/cmsy/m/n/10 ) \OT1/cmr/m/n/10 (S1ob) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11877--11877 \OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) \OMS/c msy/m/n/10 ) [] Underfull \hbox (badness 10000) in paragraph at lines 11877--11877 \OT1/cmr/m/n/10 (S1ob) [] [] Overfull \hbox (14.69688pt too wide) in paragraph at lines 11877--11877 \OT1/cmr/m/n/10 Power(binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1) ))$| [] Underfull \hbox (badness 10000) in paragraph at lines 11936--11936 []$\OT1/cmr/m/n/10 (S1ob) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11936--11936 \OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) \OMS/c msy/m/n/10 ) [] Underfull \hbox (badness 10000) in paragraph at lines 11936--11936 \OT1/cmr/m/n/10 (S1ob) [] [] Overfull \hbox (14.69688pt too wide) in paragraph at lines 11936--11936 \OT1/cmr/m/n/10 Power(binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1) ))$| [] Underfull \hbox (badness 10000) in paragraph at lines 11966--11966 []$\OMS/cmsy/m/n/10 8\OT1/cmr/m/n/10 (S1ob): ((S1ob) [] [] Underfull \hbox (badness 10000) in paragraph at lines 11966--11966 \OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) \OMS/c msy/m/n/10 ) [] Underfull \hbox (badness 10000) in paragraph at lines 11966--11966 \OT1/cmr/m/n/10 (S1ob) [] [] Overfull \hbox (18.58578pt too wide) in paragraph at lines 11966--11966 \OT1/cmr/m/n/10 Power(binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1) )))$| [] Overfull \hbox (171.14159pt too wide) in paragraph at lines 11992--11992 []$\OT1/cmr/m/n/10 IsSubset(OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 Power(binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1))))$| [] Underfull \hbox (badness 10000) in paragraph at lines 12018--12018 []$\OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) [] [] Overfull \hbox (49.03026pt too wide) in paragraph at lines 12018--12018 \OT1/cmr/m/n/10 Power(Power(binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1))))$| [] Underfull \hbox (badness 10000) in paragraph at lines 12036--12036 []$\OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = [] Underfull \hbox (badness 10000) in paragraph at lines 12098--12098 []$\OT1/cmr/m/n/10 (SX) [] (SX1) [] [] Underfull \hbox (badness 10000) in paragraph at lines 12098--12098 \OT1/cmr/m/n/10 (SY) [] (SY1) [] [] Underfull \hbox (badness 10000) in paragraph at lines 12098--12098 \OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = [] Underfull \hbox (badness 1776) in paragraph at lines 12129--12129 []$\OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (OP2ob): (SX) [] (SX1) [] [] Underfull \hbox (badness 10000) in paragraph at lines 12129--12129 \OT1/cmr/m/n/10 (OP2ob) [] (SY1) [] [] Underfull \hbox (badness 10000) in paragraph at lines 12129--12129 \OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = [] Overfull \hbox (5.19681pt too wide) in paragraph at lines 12162--12162 []$\OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (OP1ob): \OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (OP2ob): (OP1ob) []| [] Underfull \hbox (badness 10000) in paragraph at lines 12162--12162 \OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) = [] Overfull \hbox (3.89131pt too wide) in paragraph at lines 12162--12162 \OT1/cmr/m/n/10 OrderedPair((OP1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (OP2ob))$ | [] Overfull \hbox (99.44696pt too wide) in paragraph at lines 12186--12186 []$\OT1/cmr/m/n/10 IsOrderedPair(OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/ n/10 (SY))\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m /n/10 (SY1))$| [] Underfull \hbox (badness 10000) in paragraph at lines 12223--12223 []$\OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) [] [] Underfull \hbox (badness 10000) in paragraph at lines 12223--12223 \OMS/cmsy/m/n/10 f\OT1/cmr/m/n/10 ph [] [] Overfull \hbox (54.58575pt too wide) in paragraph at lines 12223--12223 \OT1/cmr/m/n/10 Power(Power(binaryUnion((SX1)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1)))) \OMS/cmsy/m/n/10 j| [] Overfull \hbox (12.32182pt too wide) in paragraph at lines 12223--12223 \OT1/cmr/m/n/10 IsOrderedPair(ph[]\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SX1)\OML/ cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY1))\OMS/cmsy/m/n/10 g$| [] Underfull \hbox (badness 10000) in paragraph at lines 12245--12245 []$\OT1/cmr/m/n/10 OrderedPair((SX)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (SY)) [] [] [17] Overfull \hbox (31.22252pt too wide) in paragraph at lines 12302--12313 []$\OT1/cmr/m/n/10 [SystemQ[]CrsIsRelation: ^^E\OMS/cmsy/m/n/10 X\OT1/cmr/m/n/1 0 : IsRelation(constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 )\OML/c mm/m/it/10 ; \OT1/cmr/m/n/10 N\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 Q)]$ | [] \lgwproofline=\count152 Underfull \hbox (badness 10000) in paragraph at lines 12353--12353 []$\OT1/cmr/m/n/10 (S1ob) [] [] Underfull \hbox (badness 10000) in paragraph at lines 12353--12353 \OT1/cmr/m/n/10 constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 )$ [] Underfull \hbox (badness 10000) in paragraph at lines 12381--12381 \OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (CRS1ob): ph[] = [] Underfull \hbox (badness 6396) in paragraph at lines 12408--12408 []$\OT1/cmr/m/n/10 (S1ob) [] cartProd(N) [] [] Underfull \hbox (badness 10000) in paragraph at lines 12408--12408 \OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (CRS1ob): (S1ob) = [] Underfull \hbox (badness 10000) in paragraph at lines 12408--12408 \OT1/cmr/m/n/10 OrderedPair((CRS1ob)\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 X\OT1/c mr/m/n/10 )$ [] Underfull \hbox (badness 10000) in paragraph at lines 12472--12472 []$\OT1/cmr/m/n/10 (S1ob) [] [] Underfull \hbox (badness 3872) in paragraph at lines 12472--12472 \OT1/cmr/m/n/10 constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 ) \OMS /cmsy/m/n/10 ) [] Underfull \hbox (badness 10000) in paragraph at lines 12499--12499 []$\OMS/cmsy/m/n/10 8\OT1/cmr/m/n/10 (S1ob): ((S1ob) [] [] Underfull \hbox (badness 3872) in paragraph at lines 12499--12499 \OT1/cmr/m/n/10 constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 ) \OMS /cmsy/m/n/10 ) [] Overfull \hbox (80.62753pt too wide) in paragraph at lines 12522--12522 []$\OT1/cmr/m/n/10 IsSubset(constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m /n/10 )\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 cartProd(N))$| [] Overfull \hbox (54.12743pt too wide) in paragraph at lines 12567--12567 []$\OT1/cmr/m/n/10 IsRelation(constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr /m/n/10 )\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 N\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 Q)$| [] [18] Overfull \hbox (33.72256pt too wide) in paragraph at lines 12624--12635 []$\OT1/cmr/m/n/10 [SystemQ[]CrsIsFunction: ^^E\OMS/cmsy/m/n/10 X\OT1/cmr/m/n/1 0 : isFunction(constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 )\OML/c mm/m/it/10 ; \OT1/cmr/m/n/10 N\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 Q)]$ | [] \lgwproofline=\count153 Underfull \hbox (badness 10000) in paragraph at lines 12714--12714 []$\OT1/cmr/m/n/10 (F1ob) = (CRS1ob) [] [] Underfull \hbox (badness 10000) in paragraph at lines 12756--12756 []$\OT1/cmr/m/n/10 (F3ob) = (CRS1ob) [] [] Underfull \hbox (badness 1661) in paragraph at lines 12884--12884 \OT1/cmr/m/n/10 OrderedPair((CRS1ob)\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 X\OT1/c mr/m/n/10 ) \OMS/cmsy/m/n/10 ) [] Underfull \hbox (badness 1661) in paragraph at lines 12884--12884 \OT1/cmr/m/n/10 OrderedPair((CRS1ob)\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 X\OT1/c mr/m/n/10 ) \OMS/cmsy/m/n/10 ) [] Underfull \hbox (badness 10000) in paragraph at lines 12951--12951 \OT1/cmr/m/n/10 cartProd(N) [] [] Overfull \hbox (51.80798pt too wide) in paragraph at lines 12951--12951 \OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (CRS1ob): OrderedPair((F1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (F2ob)) =| [] Overfull \hbox (51.80798pt too wide) in paragraph at lines 12977--12977 []$\OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (CRS1ob): OrderedPair((F1ob)\OML/cmm/m/it/ 10 ; \OT1/cmr/m/n/10 (F2ob)) =| [] Underfull \hbox (badness 10000) in paragraph at lines 13008--13008 \OT1/cmr/m/n/10 cartProd(N) [] [] Overfull \hbox (51.80798pt too wide) in paragraph at lines 13008--13008 \OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (CRS1ob): OrderedPair((F3ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (F4ob)) =| [] Overfull \hbox (51.80798pt too wide) in paragraph at lines 13034--13034 []$\OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (CRS1ob): OrderedPair((F3ob)\OML/cmm/m/it/ 10 ; \OT1/cmr/m/n/10 (F4ob)) =| [] Underfull \hbox (badness 10000) in paragraph at lines 13123--13123 []$\OMS/cmsy/m/n/10 8\OT1/cmr/m/n/10 (F1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 ( F2ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (F3ob)\OML/cmm/m/it/10 ; [] Overfull \hbox (35.41908pt too wide) in paragraph at lines 13123--13123 \OT1/cmr/m/n/10 (F4ob): (OrderedPair((F1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 ( F2ob)) []| [] Underfull \hbox (badness 3872) in paragraph at lines 13123--13123 \OT1/cmr/m/n/10 constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 ) \OMS /cmsy/m/n/10 ) [] Underfull \hbox (badness 3872) in paragraph at lines 13123--13123 \OT1/cmr/m/n/10 constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 ) \OMS /cmsy/m/n/10 ) [] Overfull \hbox (54.12743pt too wide) in paragraph at lines 13140--13140 []$\OT1/cmr/m/n/10 IsRelation(constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr /m/n/10 )\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 N\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 Q)$| [] Overfull \hbox (54.96078pt too wide) in paragraph at lines 13168--13168 []$\OT1/cmr/m/n/10 isFunction(constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr /m/n/10 )\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 N\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 Q)$| [] [19] Overfull \hbox (68.09616pt too wide) in paragraph at lines 13223--13239 []$\OT1/cmr/m/n/10 [SystemQ[]CrsIsTotal: ^^E\OMS/cmsy/m/n/10 M\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 : TypeRational(\OMS/cmsy/m/n/10 X\OT1/cmr/m /n/10 ) [] \OMS/cmsy/m/n/10 M [] \OT1/cmr/m/n/10 N \OMS/cmsy/m/n/10 ` \OT1/cmr/ m/n/10 OrderedPair(\OMS/cmsy/m/n/10 M\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 X\OT1/ cmr/m/n/10 ) []| [] \lgwproofline=\count154 Underfull \hbox (badness 10000) in paragraph at lines 13328--13328 []$\OT1/cmr/m/n/10 OrderedPair(\OMS/cmsy/m/n/10 M\OML/cmm/m/it/10 ; \OMS/cmsy/m /n/10 X\OT1/cmr/m/n/10 ) [] [] Underfull \hbox (badness 10000) in paragraph at lines 13346--13346 []$\OT1/cmr/m/n/10 OrderedPair(\OMS/cmsy/m/n/10 M\OML/cmm/m/it/10 ; \OMS/cmsy/m /n/10 X\OT1/cmr/m/n/10 ) = [] Overfull \hbox (12.6918pt too wide) in paragraph at lines 13373--13373 []$\OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (CRS1ob): OrderedPair(\OMS/cmsy/m/n/10 M\O ML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 ) =| [] Underfull \hbox (badness 10000) in paragraph at lines 13401--13401 []$\OT1/cmr/m/n/10 OrderedPair(\OMS/cmsy/m/n/10 M\OML/cmm/m/it/10 ; \OMS/cmsy/m /n/10 X\OT1/cmr/m/n/10 ) [] [] Underfull \hbox (badness 10000) in paragraph at lines 13401--13401 \OT1/cmr/m/n/10 constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 )$ [] \lgwproofline=\count155 Underfull \hbox (badness 10000) in paragraph at lines 13528--13528 []$\OT1/cmr/m/n/10 OrderedPair((S1ob)\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 X\OT1/ cmr/m/n/10 ) [] [] Overfull \hbox (34.16907pt too wide) in paragraph at lines 13553--13553 []$\OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (S2ob): OrderedPair((S1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (S2ob)) []| [] Underfull \hbox (badness 10000) in paragraph at lines 13600--13600 []$\OT1/cmr/m/n/10 (S1ob) [] N \OMS/cmsy/m/n/10 ) [] Overfull \hbox (34.16907pt too wide) in paragraph at lines 13600--13600 \OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (S2ob): OrderedPair((S1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (S2ob)) []| [] Underfull \hbox (badness 6675) in paragraph at lines 13630--13630 []$\OMS/cmsy/m/n/10 8\OT1/cmr/m/n/10 (S1ob): ((S1ob) [] N \OMS/cmsy/m/n/10 ) [] Overfull \hbox (34.16907pt too wide) in paragraph at lines 13630--13630 \OMS/cmsy/m/n/10 9\OT1/cmr/m/n/10 (S2ob): OrderedPair((S1ob)\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 (S2ob)) []| [] Overfull \hbox (54.96078pt too wide) in paragraph at lines 13647--13647 []$\OT1/cmr/m/n/10 isFunction(constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr /m/n/10 )\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 N\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 Q)$| [] Overfull \hbox (30.46072pt too wide) in paragraph at lines 13674--13674 []$\OT1/cmr/m/n/10 IsSeries(constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m /n/10 )\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 Q)$| [] [20] Overfull \hbox (28.6658pt too wide) in paragraph at lines 13730--13744 []$\OT1/cmr/m/n/10 [SystemQ[]CrsLookup: ^^E\OMS/cmsy/m/n/10 M\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 : \OMS/cmsy/m/n/10 M [] \OT1/cmr/m/n/10 N \O MS/cmsy/m/n/10 ` \OT1/cmr/m/n/10 constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/ cmr/m/n/10 )[\OMS/cmsy/m/n/10 M\OT1/cmr/m/n/10 ] =| [] \lgwproofline=\count156 Overfull \hbox (30.46072pt too wide) in paragraph at lines 13789--13789 []$\OT1/cmr/m/n/10 IsSeries(constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m /n/10 )\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 Q)$| [] Overfull \hbox (82.89539pt too wide) in paragraph at lines 13821--13821 []$\OT1/cmr/m/n/10 OrderedPair(\OMS/cmsy/m/n/10 M\OML/cmm/m/it/10 ; \OT1/cmr/m/ n/10 constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 )[\OMS/cmsy/m/n/1 0 M\OT1/cmr/m/n/10 ]) []| [] Underfull \hbox (badness 10000) in paragraph at lines 13844--13844 []$\OT1/cmr/m/n/10 OrderedPair(\OMS/cmsy/m/n/10 M\OML/cmm/m/it/10 ; \OMS/cmsy/m /n/10 X\OT1/cmr/m/n/10 ) [] [] Underfull \hbox (badness 10000) in paragraph at lines 13844--13844 \OT1/cmr/m/n/10 constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 )$ [] Overfull \hbox (5.94186pt too wide) in paragraph at lines 13898--13898 []$\OT1/cmr/m/n/10 constantRationalSeries(\OMS/cmsy/m/n/10 X\OT1/cmr/m/n/10 )[\ OMS/cmsy/m/n/10 M\OT1/cmr/m/n/10 ] =| [] \lgwproofline=\count157 Overfull \hbox (2.34464pt too wide) in paragraph at lines 14016--14016 []$\OT1/cmr/m/n/10 constantRationalSeries(0)[\OMS/cmsy/m/n/10 M\OT1/cmr/m/n/10 ] =| [] \lgwproofline=\count158 Overfull \hbox (2.34464pt too wide) in paragraph at lines 14159--14159 []$\OT1/cmr/m/n/10 constantRationalSeries(1)[\OMS/cmsy/m/n/10 M\OT1/cmr/m/n/10 ] =| [] \lgwproofline=\count159 \lgwproofline=\count160 [21] \lgwproofline=\count161 \lgwproofline=\count162 \lgwproofline=\count163 \lgwproofline=\count164 \lgwproofline=\count165 \lgwproofline=\count166 [22] \lgwproofline=\count167 \lgwproofline=\count168 \lgwproofline=\count169 [23] \lgwproofline=\count170 \lgwproofline=\count171 \lgwproofline=\count172 [24] \lgwproofline=\count173 \lgwproofline=\count174 \lgwproofline=\count175 \lgwproofline=\count176 [25] \lgwproofline=\count177 \lgwproofline=\count178 \lgwproofline=\count179 \lgwproofline=\count180 \lgwproofline=\count181 [26] \lgwproofline=\count182 \lgwproofline=\count183 \lgwproofline=\count184 \lgwproofline=\count185 \lgwproofline=\count186 \lgwproofline=\count187 Underfull \hbox (badness 10000) in paragraph at lines 20719--20719 []$\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 u\OMS/cmsy/m/n/10 X\OT1 /cmr/m/n/10 ) = (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 u\OMS/cmsy/m/n/10 Y\OT1/cm r/m/n/10 ) \OMS/cmsy/m/n/10 ) [] [27] \lgwproofline=\count188 \lgwproofline=\count189 [28] \lgwproofline=\count190 \lgwproofline=\count191 [29] \lgwproofline=\count192 \lgwproofline=\count193 \lgwproofline=\count194 [30] \lgwproofline=\count195 \lgwproofline=\count196 \lgwproofline=\count197 \lgwproofline=\count198 [31] \lgwproofline=\count199 \lgwproofline=\count200 \lgwproofline=\count201 [32] \lgwproofline=\count202 \lgwproofline=\count203 \lgwproofline=\count204 \lgwproofline=\count205 [33] \lgwproofline=\count206 \lgwproofline=\count207 \lgwproofline=\count208 \lgwproofline=\count209 [34] \lgwproofline=\count210 \lgwproofline=\count211 \lgwproofline=\count212 \lgwproofline=\count213 [35] \lgwproofline=\count214 \lgwproofline=\count215 \lgwproofline=\count216 [36] \lgwproofline=\count217 \lgwproofline=\count218 \lgwproofline=\count219 [37] \lgwproofline=\count220 \lgwproofline=\count221 \lgwproofline=\count222 \lgwproofline=\count223 \lgwproofline=\count224 [38] \lgwproofline=\count225 \lgwproofline=\count226 \lgwproofline=\count227 \lgwproofline=\count228 \lgwproofline=\count229 Overfull \hbox (11.5659pt too wide) in paragraph at lines 31261--31276 []$\OT1/cmr/m/n/10 [SystemQ[]FromNot \OML/cmm/m/it/10 <<\OT1/cmr/m/n/10 : ^^EFX \OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 FY: [] (R(FX) \OML/cmm/m/it/10 << \OT1/cmr/m /n/10 R(FY))n \OMS/cmsy/m/n/10 ` [] \OT1/cmr/m/n/10 (FX \OML/cmm/m/it/10 <[]| [] [39] \lgwproofline=\count230 \lgwproofline=\count231 \lgwproofline=\count232 \lgwproofline=\count233 ! No room for a new \count . \ch@ck ...\else \errmessage {No room for a new #3} \fi l.32031 \newcount\lgwproofline ? ! Emergency stop. \ch@ck ...\else \errmessage {No room for a new #3} \fi l.32031 \newcount\lgwproofline End of file on the terminal! Here is how much of TeX's memory you used: 2692 strings out of 95835 35875 string characters out of 1195527 110543 words of memory out of 1000001 5599 multiletter control sequences out of 10000+50000 4885 words of font info for 20 fonts, out of 500000 for 1000 28 hyphenation exceptions out of 1000 25i,7n,24p,203b,195s stack positions out of 1500i,500n,5000p,200000b,5000s Output written on page.dvi (39 pages, 148156 bytes).