Logiweb aspects of hlplem5 in pyk

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The predefined "pyk" aspect

define pyk of hlplem5 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 five unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of hlplem5 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 end define

The user defined "the proof aspect" aspect

define proof of hlplem5 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 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 hlplem1 modus ponens metavar var p end metavar imply metavar var q end metavar imply metavar var q end metavar modus ponens metavar var q end metavar imply metavar var p end metavar modus ponens metavar var p end metavar imply metavar var q end metavar conclude metavar var p end metavar cut pcdeduction modus ponens 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 conclude metavar var p end metavar imply metavar var q end metavar imply metavar var q end metavar imply metavar var q end metavar imply metavar var p end metavar imply metavar var p end metavar imply metavar var q end metavar imply metavar var p end metavar cut pcmp modus ponens metavar var p end metavar imply metavar var q 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 imply metavar var q end metavar imply metavar var p end metavar imply metavar var p end metavar imply metavar var q end metavar imply metavar var p end metavar conclude metavar var q end metavar imply metavar var p end metavar imply metavar var p end metavar imply metavar var q end metavar imply metavar var p end metavar cut pcmp modus ponens metavar var q end metavar imply metavar var p end metavar modus ponens metavar var q end metavar imply metavar var p end metavar imply metavar var p end metavar imply metavar var q end metavar imply metavar var p end metavar conclude metavar var p end metavar imply metavar var q end metavar imply metavar var p end metavar cut 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 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 p end metavar conclude metavar var p end metavar cut pcdeduction modus ponens 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 infer metavar var p end metavar conclude metavar var p end metavar imply metavar var q end metavar infer metavar var p end metavar cut all metavar var p end metavar indeed all metavar var q end metavar indeed lnot metavar var p end metavar imply metavar var q end metavar infer hlplem4 modus ponens lnot metavar var p end metavar imply metavar var q end metavar conclude metavar var p end metavar cut pcdeduction modus ponens all metavar var p end metavar indeed all metavar var q end metavar indeed lnot metavar var p end metavar imply metavar var q end metavar infer metavar var p end metavar conclude lnot metavar var p end metavar imply metavar var q end metavar infer metavar var p end metavar cut lem conclude metavar var p end metavar imply metavar var q end metavar lor lnot metavar var p end metavar imply metavar var q end metavar cut orelim modus ponens metavar var p end metavar imply metavar var q end metavar lor lnot metavar var p end metavar imply metavar var q end metavar modus ponens metavar var p end metavar imply metavar var q end metavar infer metavar var p end metavar modus ponens lnot metavar var p end metavar imply metavar var q end metavar infer metavar var p end metavar conclude metavar var p end metavar end quote state proof state cache var c end expand end define