Logiweb aspects of lemma a4 in pyk

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The predefined "pyk" aspect

define pyk of lemma a4 as text unicode start of text unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode small a unicode four unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma a4 as text unicode start of text unicode capital a unicode four unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma a4 as system Q infer all metavar var x end metavar indeed all metavar var v1 end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed meta-sub metavar var a end metavar is metavar var b end metavar where metavar var v1 end metavar is metavar var x end metavar end sub endorse for all objects metavar var v1 end metavar indeed metavar var b end metavar infer metavar var a end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma a4 as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed all metavar var v1 end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed meta-sub metavar var a end metavar is metavar var b end metavar where metavar var v1 end metavar is metavar var x end metavar end sub endorse for all objects metavar var v1 end metavar indeed metavar var b end metavar infer axiom a4 modus probans meta-sub metavar var a end metavar is metavar var b end metavar where metavar var v1 end metavar is metavar var x end metavar end sub conclude for all objects metavar var v1 end metavar indeed metavar var b end metavar imply metavar var a end metavar cut 1rule mp modus ponens for all objects metavar var v1 end metavar indeed metavar var b end metavar imply metavar var a end metavar modus ponens for all objects metavar var v1 end metavar indeed metavar var b end metavar conclude metavar var a end metavar end quote state proof state cache var c end expand end define