Logiweb aspects of mendelson exercise one fourtyseven e in pyk

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The predefined "pyk" aspect

define pyk of mendelson exercise one fourtyseven e as text unicode start of text 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 e unicode small x unicode small e unicode small r unicode small c unicode small i unicode small s unicode small e unicode space unicode small o unicode small n unicode small e unicode space unicode small f unicode small o unicode small u unicode small r unicode small t unicode small y unicode small s unicode small e unicode small v unicode small e unicode small n unicode space unicode small e unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of mendelson exercise one fourtyseven e as text unicode start of text unicode capital 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 backslash unicode space unicode backslash unicode small t unicode small e unicode small x unicode small t unicode small b unicode small f unicode left brace unicode one unicode period unicode four unicode seven unicode right brace unicode backslash unicode space unicode small e unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of mendelson exercise one fourtyseven e 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 peano imply metavar var c end metavar ) ) infer ( metavar var b 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 exercise one fourtyseven e 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 peano imply metavar var c end metavar ) ) infer ( metavar var b end metavar infer ( ( ( mendelson exercise one fourtyseven c modus ponens ( metavar var a end metavar peano imply ( metavar var b end metavar peano imply metavar var c end metavar ) ) ) conclude ( metavar var b end metavar peano imply ( metavar var a end metavar peano imply metavar var c end metavar ) ) ) cut ( ( ( rule prime mp modus ponens ( metavar var b end metavar peano imply ( metavar var a end metavar peano imply metavar var c end metavar ) ) ) modus ponens 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