define pyk of pred lemma (A~)to(~E) as text unicode start of text unicode small p unicode small r unicode small e unicode small d unicode space unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode left parenthesis unicode capital a unicode tilde unicode right parenthesis unicode small t unicode small o unicode left parenthesis unicode tilde unicode capital e unicode right parenthesis unicode end of text end unicode text end text end define
define tex of pred lemma (A~)to(~E) as text unicode start of text unicode left parenthesis unicode capital a unicode tilde unicode right parenthesis unicode small t unicode small o unicode left parenthesis unicode tilde unicode capital e unicode right parenthesis unicode end of text end unicode text end text end define
define statement of pred lemma (A~)to(~E) as system Q infer all metavar var v1 end metavar indeed all metavar var a end metavar indeed for all objects metavar var v1 end metavar indeed not0 metavar var a end metavar infer not0 not0 for all objects metavar var v1 end metavar indeed not0 metavar var a end metavar end define
define proof of pred lemma (A~)to(~E) as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var v1 end metavar indeed all metavar var a end metavar indeed for all objects metavar var v1 end metavar indeed not0 metavar var a end metavar infer prop lemma add double neg modus ponens for all objects metavar var v1 end metavar indeed not0 metavar var a end metavar conclude not0 not0 for all objects metavar var v1 end metavar indeed not0 metavar var a end metavar cut 1rule repetition modus ponens not0 not0 for all objects metavar var v1 end metavar indeed not0 metavar var a end metavar conclude not0 not0 for all objects metavar var v1 end metavar indeed 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,