Logiweb aspects of lemma mp twice in pyk

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The predefined "pyk" aspect

define pyk of lemma mp twice as text unicode start of text unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode small m unicode small p unicode space unicode small t unicode small w unicode small i unicode small c unicode small e unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma mp twice as text unicode start of text unicode capital m unicode capital p unicode capital t unicode small w unicode small i unicode small c unicode small e unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma mp twice 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 a end metavar infer ( metavar var b end metavar infer metavar var c end metavar ) ) ) end define

The user defined "the proof aspect" aspect

define proof of lemma mp twice 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 a end metavar infer ( metavar var b end metavar infer ( ( ( ( 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 ) conclude ( metavar var b end metavar peano imply metavar var c end metavar ) ) cut ( ( ( rule prime mp modus ponens ( metavar var b end metavar peano imply metavar var c end metavar ) ) modus ponens metavar var b end metavar ) conclude metavar var c end metavar ) ) ) ) ) end quote state proof state cache var c end expand end define