Logiweb aspects of existsintro in pyk

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The predefined "pyk" aspect

define pyk of existsintro 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 i unicode small n unicode small t unicode small r unicode small o unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of existsintro as pred calc infer all metavar var x end metavar indeed all metavar var r end metavar indeed all metavar var g end metavar indeed all metavar var f end metavar indeed quote metavar var x end metavar end quote avoid zero quote metavar var r end metavar end quote endorse quote metavar var x end metavar end quote avoid zero quote metavar var g end metavar end quote endorse sub zero quote metavar var g end metavar end quote is quote metavar var f end metavar end quote where quote metavar var x end metavar end quote is quote metavar var r end metavar end quote end sub endorse metavar var g end metavar infer exists metavar var x end metavar dot metavar var f end metavar end exists end define

The user defined "the proof aspect" aspect

define proof of existsintro 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 r end metavar indeed all metavar var g end metavar indeed all metavar var f end metavar indeed quote metavar var x end metavar end quote avoid zero quote metavar var r end metavar end quote endorse quote metavar var x end metavar end quote avoid zero quote metavar var g end metavar end quote endorse sub zero quote metavar var g end metavar end quote is quote metavar var f end metavar end quote where quote metavar var x end metavar end quote is quote metavar var r end metavar end quote end sub endorse pc12 modus probans quote metavar var x end metavar end quote avoid zero quote metavar var r end metavar end quote modus probans quote metavar var x end metavar end quote avoid zero quote metavar var g end metavar end quote modus probans sub zero quote metavar var g end metavar end quote is quote metavar var f end metavar end quote where quote metavar var x end metavar end quote is quote metavar var r end metavar end quote end sub conclude metavar var g end metavar imply exists metavar var x end metavar dot metavar var f end metavar end exists cut all metavar var x end metavar indeed all metavar var g end metavar indeed all metavar var f end metavar indeed metavar var g end metavar infer pcmp modus ponens metavar var g end metavar modus ponens metavar var g end metavar imply exists metavar var x end metavar dot metavar var f end metavar end exists conclude exists metavar var x end metavar dot metavar var f end metavar end exists cut pcdeduction modus ponens all metavar var x end metavar indeed all metavar var g end metavar indeed all metavar var f end metavar indeed metavar var g end metavar infer exists metavar var x end metavar dot metavar var f end metavar end exists conclude metavar var g end metavar infer exists metavar var x end metavar dot metavar var f end metavar end exists end quote state proof state cache var c end expand end define