Logiweb aspects of existselim in pyk

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The predefined "pyk" aspect

define pyk of existselim as text unicode start of text unicode small e unicode small x unicode small i unicode small s unicode small t unicode small s unicode small e unicode small l unicode small i unicode small m unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of existselim as pred calc infer all metavar var x end metavar indeed all metavar var f end metavar indeed all metavar var g end metavar indeed quote metavar var x end metavar end quote avoid zero quote metavar var g end metavar end quote endorse exists metavar var x end metavar dot metavar var f end metavar end exists infer metavar var f end metavar infer metavar var g end metavar infer metavar var g end metavar end define

The user defined "the proof aspect" aspect

define proof of existselim as lambda var c dot lambda var x dot proof expand quote pred calc infer all metavar var x end metavar indeed all metavar var f end metavar indeed all metavar var g end metavar indeed quote metavar var x end metavar end quote avoid zero quote metavar var g end metavar end quote endorse exists metavar var x end metavar dot metavar var f end metavar end exists infer metavar var f end metavar infer metavar var g end metavar infer implyintro modus ponens metavar var f end metavar infer metavar var g end metavar conclude metavar var f end metavar imply metavar var g end metavar cut pcie modus probans quote metavar var x end metavar end quote avoid zero quote metavar var g end metavar end quote modus ponens metavar var f end metavar imply metavar var g end metavar conclude exists metavar var x end metavar dot metavar var f end metavar end exists imply metavar var g end metavar cut pcmp modus ponens exists metavar var x end metavar dot metavar var f end metavar end exists modus ponens exists metavar var x end metavar dot metavar var f end metavar end exists imply metavar var g end metavar conclude metavar var g end metavar end quote state proof state cache var c end expand end define