Logiweb aspects of pred lemma EAE mp in pyk

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The predefined "pyk" aspect

define pyk of pred lemma EAE mp 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 capital e unicode capital a unicode capital e unicode space unicode small m unicode small p unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of pred lemma EAE mp as text unicode start of text unicode capital e unicode capital a unicode capital e unicode hyphen unicode capital m unicode capital p unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of pred lemma EAE mp as system Q infer all metavar var v1 end metavar indeed all metavar var v2 end metavar indeed all metavar var v3 end metavar indeed 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 for all objects metavar var v1 end metavar indeed not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 metavar var a end metavar infer metavar var b end metavar end define

The user defined "the proof aspect" aspect

define proof of pred lemma EAE mp as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var v2 end metavar indeed all metavar var v3 end metavar indeed 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 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 metavar var a end metavar infer lemma a4 at metavar var v2 end metavar modus ponens for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 metavar var a end metavar conclude not0 for all objects metavar var v3 end metavar indeed not0 metavar var a end metavar cut pred lemma exist mp modus ponens metavar var a end metavar imply metavar var b end metavar modus ponens not0 for all objects metavar var v3 end metavar indeed not0 metavar var a end metavar conclude metavar var b end metavar cut all metavar var v1 end metavar indeed all metavar var v2 end metavar indeed all metavar var v3 end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed 1rule deduction modus ponens all metavar var v2 end metavar indeed all metavar var v3 end metavar indeed 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 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 metavar var a end metavar infer metavar var b end metavar conclude metavar var a end metavar imply metavar var b end metavar imply for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 metavar var a end metavar imply metavar var b end metavar cut metavar var a end metavar imply metavar var b end metavar infer not0 for all objects metavar var v1 end metavar indeed not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 metavar var a end metavar infer 1rule mp modus ponens metavar var a end metavar imply metavar var b end metavar imply for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 metavar var a end metavar imply metavar var b end metavar modus ponens metavar var a end metavar imply metavar var b end metavar conclude for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 metavar var a end metavar imply metavar var b end metavar cut pred lemma exist mp modus ponens for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 metavar var a end metavar imply metavar var b end metavar modus ponens not0 for all objects metavar var v1 end metavar indeed not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 metavar var a end metavar conclude metavar var b end metavar end quote state proof state cache var c end expand end define