Logiweb aspects of pred lemma 2exist mp2 in pyk

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The predefined "pyk" aspect

define pyk of pred lemma 2exist mp2 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 two unicode small e unicode small x unicode small i unicode small s unicode small t unicode space unicode small m unicode small p unicode two unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of pred lemma 2exist mp2 as text unicode start of text unicode capital t unicode small w unicode small i unicode small c unicode small e unicode capital e unicode small x unicode small i unicode small s unicode small t unicode capital m unicode capital p unicode two unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of pred lemma 2exist mp2 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 v4 end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed metavar var a end metavar imply metavar var b end metavar imply metavar var c end metavar infer not0 for all objects metavar var v1 end metavar indeed not0 not0 for all objects metavar var v2 end metavar indeed not0 metavar var a end metavar infer not0 for all objects metavar var v3 end metavar indeed not0 not0 for all objects metavar var v4 end metavar indeed not0 metavar var b end metavar infer metavar var c end metavar end define

The user defined "the proof aspect" aspect

define proof of pred lemma 2exist mp2 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 v4 end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed metavar var a end metavar imply metavar var b end metavar imply metavar var c end metavar infer not0 for all objects metavar var v1 end metavar indeed not0 not0 for all objects metavar var v2 end metavar indeed not0 metavar var a end metavar infer not0 for all objects metavar var v3 end metavar indeed not0 not0 for all objects metavar var v4 end metavar indeed not0 metavar var b end metavar infer pred lemma 2exist mp modus ponens metavar var a end metavar imply metavar var b end metavar imply metavar var c end metavar modus ponens not0 for all objects metavar var v1 end metavar indeed not0 not0 for all objects metavar var v2 end metavar indeed not0 metavar var a end metavar conclude metavar var b end metavar imply metavar var c end metavar cut pred lemma 2exist mp modus ponens metavar var b end metavar imply metavar var c end metavar modus ponens not0 for all objects metavar var v3 end metavar indeed not0 not0 for all objects metavar var v4 end metavar indeed not0 metavar var b end metavar conclude metavar var c end metavar end quote state proof state cache var c end expand end define