Logiweb aspects of pred lemma (E~)to(~A)(Imply) in pyk

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The predefined "pyk" aspect

define pyk of pred lemma (E~)to(~A)(Imply) 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 e unicode tilde unicode right parenthesis unicode small t unicode small o unicode left parenthesis unicode tilde unicode capital a unicode right parenthesis unicode left parenthesis unicode capital i unicode small m unicode small p unicode small l unicode small y unicode right parenthesis unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of pred lemma (E~)to(~A)(Imply) as text unicode start of text unicode left parenthesis unicode capital e unicode tilde unicode right parenthesis unicode small t unicode small o unicode left parenthesis unicode tilde unicode capital a unicode right parenthesis unicode left parenthesis unicode capital i unicode small m unicode small p unicode small l unicode small y unicode right parenthesis unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of pred lemma (E~)to(~A)(Imply) as system Q infer all metavar var v1 end metavar indeed all metavar var a end metavar indeed not0 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar imply not0 for all objects metavar var v1 end metavar indeed metavar var a end metavar end define

The user defined "the proof aspect" aspect

define proof of pred lemma (E~)to(~A)(Imply) 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 not0 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar infer prop lemma add double neg modus ponens not0 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar conclude not0 not0 not0 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar cut pred lemma (A)to(~E~)(Imply) conclude for all objects metavar var v1 end metavar indeed metavar var a end metavar imply not0 not0 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar cut prop lemma mt modus ponens for all objects metavar var v1 end metavar indeed metavar var a end metavar imply not0 not0 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar modus ponens not0 not0 not0 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar conclude not0 for all objects metavar var v1 end metavar indeed metavar var a end metavar cut all metavar var v1 end metavar indeed all metavar var a end metavar indeed 1rule deduction modus ponens all metavar var v1 end metavar indeed all metavar var a end metavar indeed not0 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar infer not0 for all objects metavar var v1 end metavar indeed metavar var a end metavar conclude not0 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar imply not0 for all objects metavar var v1 end metavar indeed metavar var a end metavar end quote state proof state cache var c end expand end define