Logiweb aspects of mendelson lemma one eight in pyk

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The predefined "pyk" aspect

define pyk of mendelson lemma one eight 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 l unicode small e unicode small m unicode small m unicode small a unicode space unicode small o unicode small n unicode small e unicode space unicode small e unicode small i unicode small g unicode small h unicode small t unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of mendelson lemma one eight as propcalc infer all metavar var a end metavar indeed ( metavar var a end metavar implies metavar var a end metavar ) end define

The user defined "the proof aspect" aspect

define proof of mendelson lemma one eight as lambda var c dot lambda var x dot proof expand quote propcalc infer all metavar var a end metavar indeed ( ( axiom two conclude ( ( metavar var a end metavar implies ( ( metavar var a end metavar implies metavar var a end metavar ) implies metavar var a end metavar ) ) implies ( ( metavar var a end metavar implies ( metavar var a end metavar implies metavar var a end metavar ) ) implies ( metavar var a end metavar implies metavar var a end metavar ) ) ) ) cut ( ( axiom one conclude ( metavar var a end metavar implies ( ( metavar var a end metavar implies metavar var a end metavar ) implies metavar var a end metavar ) ) ) cut ( ( ( ( rule mp modus ponens ( metavar var a end metavar implies ( ( metavar var a end metavar implies metavar var a end metavar ) implies metavar var a end metavar ) ) ) modus ponens ( ( metavar var a end metavar implies ( ( metavar var a end metavar implies metavar var a end metavar ) implies metavar var a end metavar ) ) implies ( ( metavar var a end metavar implies ( metavar var a end metavar implies metavar var a end metavar ) ) implies ( metavar var a end metavar implies metavar var a end metavar ) ) ) ) conclude ( ( metavar var a end metavar implies ( metavar var a end metavar implies metavar var a end metavar ) ) implies ( metavar var a end metavar implies metavar var a end metavar ) ) ) cut ( ( axiom one conclude ( metavar var a end metavar implies ( metavar var a end metavar implies metavar var a end metavar ) ) ) cut ( ( ( rule mp modus ponens ( metavar var a end metavar implies ( metavar var a end metavar implies metavar var a end metavar ) ) ) modus ponens ( ( metavar var a end metavar implies ( metavar var a end metavar implies metavar var a end metavar ) ) implies ( metavar var a end metavar implies metavar var a end metavar ) ) ) conclude ( metavar var a end metavar implies metavar var a end metavar ) ) ) ) ) ) end quote state proof state cache var c end expand end define