Logiweb aspects of nontriv4 in pyk

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The predefined "pyk" aspect

define pyk of nontriv4 as text unicode start of text unicode small n unicode small o unicode small n unicode small t unicode small r unicode small i unicode small v unicode four unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of nontriv4 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 nontriv4 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 infer nontriv0 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 infer metavar var p end metavar conclude metavar var q 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 nontriv3 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 orelim modus ponens metavar var q 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