Logiweb aspects of pred lemma toNegatedAEA in pyk

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The predefined "pyk" aspect

define pyk of pred lemma toNegatedAEA 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 t unicode small o unicode capital n unicode small e unicode small g unicode small a unicode small t unicode small e unicode small d unicode capital a unicode capital e unicode capital a unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of pred lemma toNegatedAEA as text unicode start of text unicode capital t unicode small o unicode capital n unicode small e unicode small g unicode small a unicode small t unicode small e unicode small d unicode capital a unicode capital e unicode capital a unicode space unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of pred lemma toNegatedAEA 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 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 not0 metavar var a 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 metavar var a end metavar end define

The user defined "the proof aspect" aspect

define proof of pred lemma toNegatedAEA 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 v2 end metavar indeed all metavar var v3 end metavar indeed all metavar var a end metavar indeed 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 not0 metavar var a end metavar infer pred lemma (E~)to(~A)(Imply) conclude not0 for all objects metavar var v3 end metavar indeed not0 not0 metavar var a end metavar imply not0 for all objects metavar var v3 end metavar indeed metavar var a end metavar cut pred lemma addNegatedAll modus ponens not0 for all objects metavar var v3 end metavar indeed not0 not0 metavar var a end metavar imply not0 for all objects metavar var v3 end metavar indeed metavar var a end metavar conclude not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed metavar var a end metavar imply not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 not0 metavar var a end metavar cut pred lemma (E)to(~A~)(Imply) conclude not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed metavar var a end metavar imply not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed metavar var a end metavar cut prop lemma imply transitivity modus ponens not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed metavar var a end metavar imply not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed metavar var a end metavar modus ponens not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed metavar var a end metavar imply not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 not0 metavar var a end metavar conclude not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed metavar var a end metavar imply not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 not0 metavar var a end metavar cut pred lemma addNegatedAll modus ponens not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed metavar var a end metavar imply not0 for all objects metavar var v2 end metavar indeed not0 for all objects metavar var v3 end metavar indeed not0 not0 metavar var a end metavar conclude 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 not0 metavar var a end metavar imply 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 metavar var a end metavar cut pred lemma (E)to(~A~)(Imply) conclude 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 not0 metavar var a end metavar imply 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 not0 metavar var a end metavar cut prop lemma imply transitivity 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 not0 metavar var a end metavar imply 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 not0 metavar var a 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 not0 metavar var a end metavar imply 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 metavar var a end metavar conclude 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 not0 metavar var a end metavar imply 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 metavar var a end metavar cut 1rule mp 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 not0 metavar var a end metavar imply 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 metavar var a 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 not0 metavar var a end metavar conclude 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 metavar var a end metavar end quote state proof state cache var c end expand end define