define pyk of prop lemma mp4 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 p unicode four unicode end of text end unicode text end text end define
define tex of prop lemma mp4 as text unicode start of text unicode capital m unicode capital p unicode four unicode end of text end unicode text end text end define
define statement of prop lemma mp4 as system Q infer all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed all metavar var d end metavar indeed all metavar var e end metavar indeed metavar var a end metavar imply metavar var b end metavar imply metavar var c end metavar imply metavar var d end metavar imply metavar var e end metavar infer metavar var a end metavar infer metavar var b end metavar infer metavar var c end metavar infer metavar var d end metavar infer metavar var e end metavar end define
define proof of prop lemma mp4 as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed all metavar var d end metavar indeed all metavar var e end metavar indeed metavar var a end metavar imply metavar var b end metavar imply metavar var c end metavar imply metavar var d end metavar imply metavar var e end metavar infer metavar var a end metavar infer metavar var b end metavar infer metavar var c end metavar infer metavar var d end metavar infer prop lemma mp2 modus ponens metavar var a end metavar imply metavar var b end metavar imply metavar var c end metavar imply metavar var d end metavar imply metavar var e end metavar modus ponens metavar var a end metavar modus ponens metavar var b end metavar conclude metavar var c end metavar imply metavar var d end metavar imply metavar var e end metavar cut prop lemma mp2 modus ponens metavar var c end metavar imply metavar var d end metavar imply metavar var e end metavar modus ponens metavar var c end metavar modus ponens metavar var d end metavar conclude metavar var e end metavar end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,