Logiweb aspects of pred lemma EEAnegated in pyk

Up Help

The predefined "pyk" aspect

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

The predefined "tex" aspect

define tex of pred lemma EEAnegated as text unicode start of text unicode capital e unicode capital e unicode capital a unicode hyphen unicode small n unicode small e unicode small g unicode small a unicode small t unicode small e unicode small d unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of pred lemma EEAnegated 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 not0 for all objects metavar var v1 end metavar indeed not0 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 infer for all objects metavar var v1 end metavar indeed 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 end define

The user defined "the proof aspect" aspect

define proof of pred lemma EEAnegated 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 not0 for all objects metavar var v1 end metavar indeed not0 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 infer pred lemma allNegated(Imply) conclude not0 for all objects metavar var v3 end metavar indeed metavar var a end metavar imply not0 for all objects metavar var v3 end metavar indeed not0 not0 metavar var a end metavar cut pred lemma addAll modus ponens not0 for all objects metavar var v3 end metavar indeed metavar var a end metavar imply not0 for all objects metavar var v3 end metavar indeed not0 not0 metavar var a end metavar conclude 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 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 existNegated(Imply) conclude not0 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 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 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 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 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 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 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 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 addAll modus ponens not0 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 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 for all objects metavar var v1 end metavar indeed not0 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 for all objects metavar var v1 end metavar indeed 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 existNegated(Imply) conclude not0 not0 for all objects metavar var v1 end metavar indeed not0 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 for all objects metavar var v1 end metavar indeed not0 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 not0 for all objects metavar var v1 end metavar indeed not0 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 for all objects metavar var v1 end metavar indeed not0 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 for all objects metavar var v1 end metavar indeed not0 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 for all objects metavar var v1 end metavar indeed 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 not0 for all objects metavar var v1 end metavar indeed not0 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 for all objects metavar var v1 end metavar indeed 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 1rule mp modus ponens not0 not0 for all objects metavar var v1 end metavar indeed not0 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 for all objects metavar var v1 end metavar indeed 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 not0 for all objects metavar var v1 end metavar indeed not0 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 for all objects metavar var v1 end metavar indeed 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 end quote state proof state cache var c end expand end define