define pyk of prop lemma mt as text unicode start of text unicode small p unicode small r unicode small o unicode small p unicode space unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode small m unicode small t unicode end of text end unicode text end text end define
define tex of prop lemma mt as text unicode start of text unicode capital m unicode capital t unicode end of text end unicode text end text end define
define statement of prop lemma mt as system zf infer all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var a end metavar imply metavar var b end metavar infer not0 metavar var b end metavar infer not0 metavar var a end metavar end define
define proof of prop lemma mt as lambda var c dot lambda var x dot proof expand quote system zf infer all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var a end metavar imply metavar var b end metavar infer not0 metavar var b end metavar infer prop lemma technicality conclude not0 not0 metavar var a end metavar imply metavar var b end metavar cut prop lemma negative mt modus ponens not0 not0 metavar var a end metavar imply metavar var b end metavar modus ponens not0 metavar var b end metavar conclude not0 metavar var a end metavar end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,