define pyk of pred lemma addExist(SimpleAnt) 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 small a unicode small d unicode small d unicode capital e unicode small x unicode small i unicode small s unicode small t unicode left parenthesis unicode capital s unicode small i unicode small m unicode small p unicode small l unicode small e unicode capital a unicode small n unicode small t unicode right parenthesis unicode end of text end unicode text end text end define
define tex of pred lemma addExist(SimpleAnt) as text unicode start of text unicode capital a unicode small d unicode small d unicode capital e unicode small x unicode small i unicode small s unicode small t unicode left parenthesis unicode capital s unicode small i unicode small m unicode small p unicode small l unicode small e unicode capital a unicode small n unicode small t unicode right parenthesis unicode end of text end unicode text end text end define
define statement of pred lemma addExist(SimpleAnt) as system Q infer all metavar var y end metavar indeed all metavar var v1 end metavar indeed all metavar var v2 end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var d end metavar indeed meta-sub not0 metavar var b end metavar is not0 metavar var d end metavar where metavar var v2 end metavar is metavar var y end metavar end sub endorse metavar var a end metavar imply metavar var b end metavar infer not0 for all objects metavar var v1 end metavar indeed not0 metavar var a end metavar imply not0 for all objects metavar var v2 end metavar indeed not0 metavar var d end metavar end define
define proof of pred lemma addExist(SimpleAnt) as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var y end metavar indeed all metavar var v1 end metavar indeed all metavar var v2 end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var d end metavar indeed meta-sub not0 metavar var b end metavar is not0 metavar var d end metavar where metavar var v2 end metavar is metavar var y end metavar end sub endorse metavar var a end metavar imply metavar var b end metavar infer prop lemma auto imply conclude metavar var a end metavar imply metavar var a end metavar cut pred lemma addExist at metavar var y end metavar modus probans meta-sub not0 metavar var b end metavar is not0 metavar var d end metavar where metavar var v2 end metavar is metavar var y end metavar end sub modus ponens metavar var a end metavar imply metavar var b end metavar modus ponens metavar var a end metavar imply metavar var a end metavar conclude not0 for all objects metavar var v1 end metavar indeed not0 metavar var a end metavar imply not0 for all objects metavar var v2 end metavar indeed not0 metavar var d end metavar end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,