Logiweb aspects of pred lemma intro exist in pyk

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The predefined "pyk" aspect

define pyk of pred lemma intro exist 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 i unicode small n unicode small t unicode small r unicode small o unicode space unicode small e unicode small x unicode small i unicode small s unicode small t unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of pred lemma intro exist as text unicode start of text unicode capital i unicode small n unicode small t unicode small r unicode small o unicode capital e unicode small x unicode small i unicode small s unicode small t unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of pred lemma intro exist as system Q infer all metavar var x end metavar indeed all metavar var v1 end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed meta-sub not0 metavar var a end metavar is not0 metavar var b end metavar where metavar var v1 end metavar is metavar var x end metavar end sub endorse metavar var a end metavar infer not0 for all objects metavar var v1 end metavar indeed not0 metavar var b end metavar end define

The user defined "the proof aspect" aspect

define proof of pred lemma intro exist as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed all metavar var v1 end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed meta-sub not0 metavar var a end metavar is not0 metavar var b end metavar where metavar var v1 end metavar is metavar var x end metavar end sub endorse pred lemma intro exist helper at metavar var x end metavar modus probans meta-sub not0 metavar var a end metavar is not0 metavar var b end metavar where metavar var v1 end metavar is metavar var x end metavar end sub conclude for all objects metavar var v1 end metavar indeed not0 metavar var b end metavar imply not0 metavar var a end metavar cut metavar var a end metavar infer prop lemma add double neg modus ponens metavar var a end metavar conclude not0 not0 metavar var a end metavar cut prop lemma mt modus ponens for all objects metavar var v1 end metavar indeed not0 metavar var b end metavar imply not0 metavar var a end metavar modus ponens not0 not0 metavar var a end metavar conclude not0 for all objects metavar var v1 end metavar indeed not0 metavar var b end metavar cut 1rule repetition modus ponens not0 for all objects metavar var v1 end metavar indeed not0 metavar var b end metavar conclude not0 for all objects metavar var v1 end metavar indeed not0 metavar var b end metavar end quote state proof state cache var c end expand end define