define pyk of lemma weaken 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 w unicode small e unicode small a unicode small k unicode small e unicode small n unicode end of text end unicode text end text end define
define tex of lemma weaken as text unicode start of text unicode capital w unicode small e unicode small a unicode small k unicode small e unicode small n unicode end of text end unicode text end text end define
define statement of lemma weaken as system prime s infer all metavar var a end metavar indeed all metavar var b end metavar indeed ( metavar var a end metavar infer ( metavar var b end metavar peano imply metavar var a end metavar ) ) end define
define proof of lemma weaken 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 ( metavar var a end metavar infer ( ( axiom prime a one conclude ( metavar var a end metavar peano imply ( metavar var b end metavar peano imply metavar var a end metavar ) ) ) cut ( ( ( rule prime mp modus ponens ( metavar var a end metavar peano imply ( metavar var b end metavar peano imply metavar var a end metavar ) ) ) modus ponens metavar var a end metavar ) conclude ( metavar var b end metavar peano imply metavar var a end metavar ) ) ) ) end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20050603 by Klaus Grue,