Logiweb aspects of mendelson corollary one ten a in pyk

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The predefined "pyk" aspect

define pyk of mendelson corollary one ten a as text unicode start of text unicode space unicode small m unicode small e unicode small n unicode small d unicode small e unicode small l unicode small s unicode small o unicode small n unicode space unicode small c unicode small o unicode small r unicode small o unicode small l unicode small l unicode small a unicode small r unicode small y unicode space unicode small o unicode small n unicode small e unicode space unicode small t unicode small e unicode small n unicode space unicode small a unicode space unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of mendelson corollary one ten a as text unicode start of text unicode capital m unicode one unicode period unicode one unicode zero unicode left parenthesis unicode small a unicode right parenthesis unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of mendelson corollary one ten a as system prime s infer all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed ( ( metavar var a end metavar peano imply metavar var b end metavar ) infer ( ( metavar var b end metavar peano imply metavar var c end metavar ) infer ( metavar var a end metavar peano imply metavar var c end metavar ) ) ) end define

The user defined "the proof aspect" aspect

define proof of mendelson corollary one ten a as lambda var c dot lambda var x dot proof expand quote system prime s infer all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed ( ( metavar var a end metavar peano imply metavar var b end metavar ) infer ( ( metavar var b end metavar peano imply metavar var c end metavar ) infer ( ( mendelson one seven conclude ( metavar var a end metavar peano imply metavar var a end metavar ) ) cut ( ( ( hypothesize modus ponens ( metavar var a end metavar peano imply metavar var b end metavar ) ) conclude ( metavar var a end metavar peano imply ( metavar var a end metavar peano imply metavar var b end metavar ) ) ) cut ( ( ( hypothesize modus ponens ( metavar var b end metavar peano imply metavar var c end metavar ) ) conclude ( metavar var a end metavar peano imply ( metavar var b end metavar peano imply metavar var c end metavar ) ) ) cut ( ( ( ( hypothetical rule prime mp modus ponens ( metavar var a end metavar peano imply ( metavar var a end metavar peano imply metavar var b end metavar ) ) ) modus ponens ( metavar var a end metavar peano imply metavar var a end metavar ) ) conclude ( metavar var a end metavar peano imply metavar var b end metavar ) ) cut ( ( ( hypothetical rule prime mp modus ponens ( metavar var a end metavar peano imply ( metavar var b end metavar peano imply metavar var c end metavar ) ) ) modus ponens ( metavar var a end metavar peano imply metavar var b end metavar ) ) conclude ( metavar var a end metavar peano imply metavar var c end metavar ) ) ) ) ) ) ) ) end quote state proof state cache var c end expand end define