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 right parenthesis unicode small t unicode small o unicode left parenthesis unicode tilde unicode capital a unicode tilde 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 right parenthesis unicode small t unicode small o unicode left parenthesis unicode tilde unicode capital a unicode tilde 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 metavar var a end metavar imply not0 for all objects metavar var v1 end metavar indeed not0 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 prop lemma auto imply conclude not0 for all objects metavar var v1 end metavar indeed not0 metavar var a end metavar imply not0 for all objects metavar var v1 end metavar indeed not0 metavar var a end metavar cut 1rule repetition modus ponens not0 for all objects metavar var v1 end metavar indeed not0 metavar var a end metavar imply not0 for all objects metavar var v1 end metavar indeed not0 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 v1 end metavar indeed not0 metavar var a end metavar end quote state proof state cache var c end expand end define