Logiweb aspects of mendelson corollary one ten b plus plus in pyk

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The predefined "pyk" aspect

define pyk of mendelson corollary one ten b plus plus 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 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 b unicode space unicode small p unicode small l unicode small u unicode small s unicode space unicode small p unicode small l unicode small u unicode small s unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of mendelson corollary one ten b plus plus as text unicode start of text unicode newline unicode capital m unicode one unicode period unicode one unicode zero unicode left parenthesis unicode small b unicode underscore unicode plus sign 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 b plus plus 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 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 mendelson corollary one ten b plus plus 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 ( ( mendelson one seven plus plus conclude ( metavar var b end metavar peano imply ( metavar var a end metavar peano imply metavar var b end metavar ) ) ) cut ( ( 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 a end metavar ) ) conclude ( metavar var b end metavar peano imply ( metavar var a end metavar peano imply metavar var a end metavar ) ) ) cut ( ( ( hypothesize plus plus 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 a end metavar peano imply ( metavar var b end metavar peano imply metavar var c end metavar ) ) ) ) ) cut ( ( ( ( hypothetical rule prime mp plus plus modus ponens ( metavar var b end metavar peano imply ( metavar var a 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 b end metavar peano imply ( metavar var a end metavar peano imply metavar var a end metavar ) ) ) conclude ( metavar var b 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 rule prime mp plus plus modus ponens ( metavar var b 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 b end metavar peano imply ( metavar var a end metavar peano imply metavar var b end metavar ) ) ) conclude ( metavar var b 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