Logiweb aspects of hypothetical mendelson exercise one fourtyseven b in pyk

Up Help

The predefined "pyk" aspect

define pyk of hypothetical mendelson exercise one fourtyseven b as text unicode start of text unicode small h unicode small y unicode small p unicode small o unicode small t unicode small h unicode small e unicode small t unicode small i unicode small c unicode small a unicode small l 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 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 b unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of hypothetical mendelson exercise one fourtyseven b 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 b unicode underscore unicode left brace unicode small h unicode right brace unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of hypothetical mendelson exercise one fourtyseven b as system prime s infer all metavar var h end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed ( ( metavar var h end metavar peano imply ( metavar var a end metavar peano imply metavar var b end metavar ) ) infer ( ( metavar var h end metavar peano imply ( metavar var b end metavar peano imply metavar var c end metavar ) ) infer ( metavar var h end metavar peano imply ( metavar var a end metavar peano imply metavar var c end metavar ) ) ) ) end define

The user defined "the proof aspect" aspect

define proof of hypothetical mendelson exercise one fourtyseven b as lambda var c dot lambda var x dot proof expand quote system prime s infer all metavar var h end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed ( ( metavar var h end metavar peano imply ( metavar var a end metavar peano imply metavar var b end metavar ) ) infer ( ( metavar var h end metavar peano imply ( metavar var b end metavar peano imply metavar var c end metavar ) ) infer ( ( mendelson lemma one eight conclude ( metavar var h end metavar peano imply metavar var h end metavar ) ) cut ( ( ( hypothetical inference axiom prime a one modus ponens ( metavar var h end metavar peano imply ( metavar var b end metavar peano imply metavar var c end metavar ) ) ) conclude ( metavar var h end metavar peano imply ( metavar var a end metavar peano imply ( metavar var b end metavar peano imply metavar var c end metavar ) ) ) ) cut ( ( ( ( hypothetical inference inference axiom prime a two modus ponens ( metavar var h end metavar peano imply ( metavar var a end metavar peano imply ( metavar var b end metavar peano imply metavar var c end metavar ) ) ) ) modus ponens ( metavar var h end metavar peano imply ( metavar var a end metavar peano imply metavar var b end metavar ) ) ) conclude ( metavar var h end metavar peano imply ( metavar var a end metavar peano imply metavar var c end metavar ) ) ) cut ( ( inference mendelson lemma one eight modus ponens ( metavar var h end metavar peano imply ( metavar var a end metavar peano imply metavar var c end metavar ) ) ) conclude ( metavar var h end metavar peano imply ( metavar var a end metavar peano imply metavar var c end metavar ) ) ) ) ) ) ) ) end quote state proof state cache var c end expand end define