Logiweb aspects of hlplem1 in pyk

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The predefined "pyk" aspect

define pyk of hlplem1 as text unicode start of text unicode small h unicode small l unicode small p unicode small l unicode small e unicode small m unicode one unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of hlplem1 as pred calc infer all metavar var p end metavar indeed all metavar var q end metavar indeed metavar var p end metavar imply metavar var q end metavar imply metavar var q end metavar infer metavar var q end metavar imply metavar var p end metavar infer metavar var p end metavar imply metavar var q end metavar infer metavar var p end metavar end define

The user defined "the proof aspect" aspect

define proof of hlplem1 as lambda var c dot lambda var x dot proof expand quote pred calc infer all metavar var p end metavar indeed all metavar var q end metavar indeed metavar var p end metavar imply metavar var q end metavar imply metavar var q end metavar infer metavar var q end metavar imply metavar var p end metavar infer metavar var p end metavar imply metavar var q end metavar infer pcmp modus ponens metavar var p end metavar imply metavar var q end metavar modus ponens metavar var p end metavar imply metavar var q end metavar imply metavar var q end metavar conclude metavar var q end metavar cut pcmp modus ponens metavar var q end metavar modus ponens metavar var q end metavar imply metavar var p end metavar conclude metavar var p end metavar end quote state proof state cache var c end expand end define