| 0 | 0 | sup2 |
| 1 | 0 | lemma leqTotality(R) |
| 2 | 0 | lemma positiveToLeft(Eq) |
| 3 | 0 | lemma expZero exact |
| 4 | 0 | lemma sameExp base |
| 5 | 0 | lemma sameExp indu |
| 6 | 0 | lemma sameExp |
| 7 | 0 | lemma (1/2)(x+y)-x=(1/2)(y-x) |
| 8 | 0 | lemma y-(1/2)(x+y)=(1/2)(y-x) |
| 9 | 0 | lemma base(1/2)Sum zero exact |
| 10 | 0 | lemma sameBase(1/2)Sum second base |
| 11 | 0 | lemma sameBase(1/2)Sum second indu |
| 12 | 0 | lemma sameBase(1/2)Sum second |
| 13 | 0 | lemma negativeToLeft(Less)(1 term) |
| 14 | 0 | lemma base(1/2)Sum(+1) |
| 15 | 0 | lemma base(1/2)Sum exact bound base |
| 16 | 0 | lemma base(1/2)Sum exact bound indu |
| 17 | 0 | lemma base(1/2)Sum exact bound |
| 18 | 0 | lemma base(1/2)Sum bound |
| 19 | 0 | lemma UStelescope zero exact |
| 20 | 0 | lemma sameTelescope second base |
| 21 | 0 | lemma sameTelescope second indu |
| 22 | 0 | lemma sameTelescope second |
| 23 | 0 | lemma exp(+1) |
| 24 | 0 | lemma positiveBase base |
| 25 | 0 | lemma positiveBase indu |
| 26 | 0 | lemma positiveBase |
| 27 | 0 | lemma telescopeNumerical base |
| 28 | 0 | lemma telescopeNumerical indu |
| 29 | 0 | lemma telescopeNumerical |
| 30 | 0 | lemma +1IsPositive(N) |
| 31 | 0 | lemma distributionOut(Minus) |
| 32 | 0 | lemma positiveToRight(Eq)(1 term) |
| 33 | 0 | lemma sameSeries(NumDiff) |
| 34 | 0 | prop lemma to negated double imply |
| 35 | 0 | pred lemma addNegatedAll |
| 36 | 0 | pred lemma (A)to(~E~)(Imply) |
| 37 | 0 | pred lemma (E)to(~A~)(Imply) |
| 38 | 0 | pred lemma (E~)to(~A)(Imply) |
| 39 | 0 | pred lemma toNegatedAEA |
| 40 | 0 | lemma three2threeTerms(R) |
| 41 | 0 | lemma lessNeq(F) helper |
| 42 | 0 | lemma lessNeq(F) |
| 43 | 0 | lemma lessNeq(R) |
| 44 | 0 | lemma x=x+(y-y)(R) |
| 45 | 0 | lemma x=x+y-y(R) |
| 46 | 0 | lemma subtractEquations(R) |
| 47 | 0 | lemma neqAddition(R) |
| 48 | 0 | lemma positiveToRight(Less)(R) |
| 49 | 0 | lemma positiveToRight(Less)(1 term)(R) |
| 50 | 0 | lemma leqNeqLess(R) |
| 51 | 0 | lemma subLeqLeft(R) |
| 52 | 0 | lemma toLeq(Advanced)(R) |
| 53 | 0 | lemma leqLessTransitivity(R) |
| 54 | 0 | lemma negativeToLeft(Eq)(R) |
| 55 | 0 | lemma negativeToRight(Less)(R) |
| 56 | 0 | lemma !!==Symmetry |
| 57 | 0 | lemma switchTerms(x<=y-z) |
| 58 | 0 | lemma plus0Left(R) |
| 59 | 0 | lemma positiveToRight(Eq)(R) |
| 60 | 0 | lemma eqAdditionLeft(R) |
| 61 | 0 | lemma three2twoTerms(R) |
| 62 | 0 | lemma to!!== |
| 63 | 0 | lemma positiveToRight(Less)(1 term) |
| 64 | 0 | pred lemma (A~)to(~E) |
| 65 | 0 | lemma negativeToRight(Eq)(R) |
| 66 | 0 | lemma negativeToRight(Eq)(1 term)(R) |
| 67 | 0 | lemma doubleMinus(R) |
| 68 | 0 | lemma uniqueNegative(R) |
| 69 | 0 | lemma subtractEquationsLeft(R) |
| 70 | 0 | lemma eqNegated(R) |
| 71 | 0 | lemma neqNegated(R) |
| 72 | 0 | lemma -0=0(R) |
| 73 | 0 | lemma negativeNegated(R) |
| 74 | 0 | lemma from leqGeq(R) |
| 75 | 0 | lemma 0<=|x|(R) |
| 76 | 0 | lemma positiveNegated(R) |
| 77 | 0 | lemma addEquations(R) |
| 78 | 0 | lemma times(-1)(R) |
| 79 | 0 | lemma times(-1)Left(R) |
| 80 | 0 | lemma -x-y=-(x+y)(R) |
| 81 | 0 | lemma lessTotality(R) |
| 82 | 0 | lemma sameNumerical(R) |
| 83 | 0 | lemma minusNegated(R) |
| 84 | 0 | lemma positiveNumerical(R) |
| 85 | 0 | lemma signNumerical(+)(R) |
| 86 | 0 | lemma nonnegativeNumerical(R) |
| 87 | 0 | lemma negativeNumerical(R) |
| 88 | 0 | lemma leqNegated(R) |
| 89 | 0 | lemma lessNegated(R) |
| 90 | 0 | lemma subLeqRight(R) |
| 91 | 0 | lemma fromLess(R) |
| 92 | 0 | lemma distributionOut(R) |
| 93 | 0 | lemma x*0+x=x(R) |
| 94 | 0 | lemma x*0=0(R)fff |
| 95 | 0 | lemma signNumerical(R) |
| 96 | 0 | lemma numericalDifference(R) |
| 97 | 0 | lemma x<=|x|(R) |
| 98 | 0 | lemma USlimitIsUpperBound helper |
| 99 | 0 | lemma USlimitIsUpperBound |
| 100 | 0 | lemma (-1)*(-1)+(-1)*1=0(R) |
| 101 | 0 | lemma (-1)*(-1)=1(R) |
| 102 | 0 | lemma 0<1Helper(R) |
| 103 | 0 | lemma 0<1(R) |
| 104 | 0 | lemma expZero exact(R) |
| 105 | 0 | lemma positiveBase(R) base |
| 106 | 0 | lemma three2twoFactors(R) |
| 107 | 0 | lemma x=x*y*(1/y)(R) |
| 108 | 0 | lemma neqMultiplication(R) |
| 109 | 0 | lemma lessTransitivity(R) |
| 110 | 0 | lemma 0<2(R) |
| 111 | 0 | lemma sameExp(R) base |
| 112 | 0 | lemma sameExp(R) indu |
| 113 | 0 | lemma sameExp(R) |
| 114 | 0 | lemma subNeqLeft(R) |
| 115 | 0 | lemma subNeqRight(R) |
| 116 | 0 | lemma nonzeroFactors(R) |
| 117 | 0 | lemma nonnegativeFactors(R) |
| 118 | 0 | lemma positiveFactors(R) |
| 119 | 0 | lemma lessDivision(R) |
| 120 | 0 | lemma 0<1/2(R) |
| 121 | 0 | lemma positiveToRight(Eq)(1 term)(R) |
| 122 | 0 | lemma exp(+1)(R) |
| 123 | 0 | lemma positiveBase(R) indu |
| 124 | 0 | lemma positiveBase(R) |
| 125 | 0 | lemma -x*y=-(x*y)(R) |
| 126 | 0 | lemma positiveToLeft(Eq)(R) |
| 127 | 0 | lemma times1Left(R) |
| 128 | 0 | lemma x+x=2*x(R) |
| 129 | 0 | lemma (1/2)x+(1/2)x=x(R) |
| 130 | 0 | lemma distributionOut(Minus)(R) |
| 131 | 0 | lemma (1/2)(x+y)-x=(1/2)(y-x)(R) |
| 132 | 0 | lemma intervalSize(R) base |
| 133 | 0 | lemma lessMultiplicationLeft(R) |
| 134 | 0 | lemma negativeToLeft(Less)(R) |
| 135 | 0 | lemma negativeToLeft(Less)(1 term)(R) |
| 136 | 0 | lemma y-(1/2)(x+y)=(1/2)(y-x)(R) |
| 137 | 0 | lemma intervalSize(R) indu |
| 138 | 0 | lemma intervalSize(R) |
| 139 | 0 | lemma XSlessUS(R) |
| 140 | 0 | lemma USdecreasing(+1)(R) |
| 141 | 0 | lemma expUnbounded base |
| 142 | 0 | lemma expUnbounded indu |
| 143 | 0 | lemma expUnbounded |
| 144 | 0 | lemma 1<=x+1(N) |
| 145 | 0 | lemma expNonzero base |
| 146 | 0 | lemma expNonzero indu |
| 147 | 0 | lemma expNonzero |
| 148 | 0 | lemma expNonzero(2) |
| 149 | 0 | lemma halfBase base |
| 150 | 0 | lemma halfBase indu |
| 151 | 0 | lemma multiplyEquations(R) |
| 152 | 0 | lemma nonreciprocalToRight(Eq)(1 term)(R) |
| 153 | 0 | lemma positiveNonzero(R) |
| 154 | 0 | lemma nonzeroProduct(2)(R) |
| 155 | 0 | lemma halfBase |
| 156 | 0 | lemma three2threeFactors(R) |
| 157 | 0 | lemma x*y=zBackwards(R) |
| 158 | 0 | lemma positiveInverted(R) |
| 159 | 0 | lemma reciprocalToRight(Less)(R) |
| 160 | 0 | lemma reciprocalToRight(Less)(1 term)(R) |
| 161 | 0 | lemma nonreciprocalToLeft(Less)(R) |
| 162 | 0 |
lemma 1 |
| 163 | 0 |
lemma switchFactors(1/x |
| 164 | 0 | lemma smallHalving |
| 165 | 0 | lemma intervalSize(anyPositive) |
| 166 | 0 | lemma USdecreasing(+n) base |
| 167 | 0 | lemma USdecreasing(+n) indu |
| 168 | 0 | lemma USdecreasing(+n) |
| 169 | 0 | lemma USdecreasing |
| 170 | 0 | lemma leqAdditionLeft(R) |
| 171 | 0 | lemma toNotLess(R) |
| 172 | 0 | lemma limitOfUSIsLeq |
| 173 | 0 | lemma subtractEquations(Less)(R) |
| 174 | 0 | lemma subtractEquationsLeft(Less)(R) |
| 175 | 0 | lemma lessNegated(Negative)(R) |
| 176 | 0 | prop lemma from negated and (imply) |
| 177 | 0 | prop lemma remove double neg (consequent) |
| 178 | 0 | lemma fromNotUpperBound |
| 179 | 0 | lemma leqNUB |
| 180 | 0 | lemma USlimitIsLeastUpperBound helper |
| 181 | 0 | lemma USlimitIsLeastUpperBound |
| 182 | 0 | pred lemma exist mp3 |
| 183 | 0 | lemma greaterPositive(N) |
| 184 | 0 | lemma ysFClose helper |
| 185 | 0 | lemma ysFClose |
| 186 | 0 | lemma ysFCauchy helper |
| 187 | 0 | lemma ysFCauchy |
| 188 | 0 | lemma from<<== |
| 189 | 0 | lemma to<<== |
| 190 | 0 | lemma nonnegativeNumerical(F) |
| 191 | 0 | lemma negativeNumerical(F) |
| 192 | 0 | tester1 |
| 193 | 0 | tester2 |
| 194 | 0 | tester3 |
| 195 | 0 | tester4 |
| 196 | 0 | tester5 |
| 197 | 0 | tester6 |
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,