Logiweb aspects of pred lemma addAll in pyk

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The predefined "pyk" aspect

define pyk of pred lemma addAll 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 d unicode small d unicode capital a unicode small l unicode small l unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of pred lemma addAll as text unicode start of text unicode capital a unicode small d unicode small d unicode capital a unicode small l unicode small l 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 addAll as system Q infer all metavar var v1 end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var a end metavar imply metavar var b end metavar infer for all objects metavar var v1 end metavar indeed metavar var a end metavar imply for all objects metavar var v1 end metavar indeed metavar var b end metavar end define

The user defined "the proof aspect" aspect

define proof of pred lemma addAll 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 all metavar var b end metavar indeed metavar var a end metavar imply metavar var b end metavar infer for all objects metavar var v1 end metavar indeed metavar var a end metavar infer lemma a4 modus ponens for all objects metavar var v1 end metavar indeed metavar var a end metavar conclude metavar var a end metavar cut 1rule mp modus ponens metavar var a end metavar imply metavar var b end metavar modus ponens metavar var a end metavar conclude metavar var b end metavar cut 1rule gen modus ponens metavar var b end metavar conclude for all objects metavar var v1 end metavar indeed metavar var b end metavar cut all metavar var v1 end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed 1rule deduction modus ponens all metavar var v1 end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var a end metavar imply metavar var b end metavar infer for all objects metavar var v1 end metavar indeed metavar var a end metavar infer for all objects metavar var v1 end metavar indeed metavar var b end metavar conclude metavar var a end metavar imply metavar var b end metavar imply for all objects metavar var v1 end metavar indeed metavar var a end metavar imply for all objects metavar var v1 end metavar indeed metavar var b end metavar cut metavar var a end metavar imply metavar var b end metavar infer 1rule mp modus ponens metavar var a end metavar imply metavar var b end metavar imply for all objects metavar var v1 end metavar indeed metavar var a end metavar imply for all objects metavar var v1 end metavar indeed metavar var b end metavar modus ponens metavar var a end metavar imply metavar var b end metavar conclude for all objects metavar var v1 end metavar indeed metavar var a end metavar imply for all objects metavar var v1 end metavar indeed metavar var b end metavar end quote state proof state cache var c end expand end define