Logiweb aspects of pred lemma allNegated(Imply) in pyk

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The predefined "pyk" aspect

define pyk of pred lemma allNegated(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 small a unicode small l unicode small l unicode capital n unicode small e unicode small g unicode small a unicode small t unicode small e unicode small d 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 allNegated(Imply) as text unicode start of text unicode capital a unicode small l unicode small l unicode capital n unicode small e unicode small g unicode small a unicode small t unicode small e unicode small d 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 allNegated(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 metavar var a end metavar imply not0 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar end define

The user defined "the proof aspect" aspect

define proof of pred lemma allNegated(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 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar infer lemma a4 at metavar var x end metavar modus ponens for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar conclude not0 not0 metavar var a end metavar cut prop lemma remove double neg modus ponens not0 not0 metavar var a end metavar conclude metavar var a end metavar cut 1rule gen modus ponens metavar var a end metavar conclude 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 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar infer for all objects metavar var v1 end metavar indeed metavar var a end metavar conclude for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar imply for all objects metavar var v1 end metavar indeed metavar var a end metavar cut prop lemma contrapositive modus ponens for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar imply 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 metavar var a end metavar imply not0 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar cut 1rule repetition modus ponens not0 for all objects metavar var v1 end metavar indeed metavar var a end metavar imply 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 imply not0 for all objects metavar var v1 end metavar indeed not0 not0 metavar var a end metavar end quote state proof state cache var c end expand end define