Logiweb aspects of forallelim in pyk

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The predefined "pyk" aspect

define pyk of forallelim as text unicode start of text unicode small f unicode small o unicode small r unicode small a unicode small l unicode small l 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 forallelim 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 forall metavar var x end metavar dot metavar var f end metavar end forall infer metavar var g end metavar end define

The user defined "the proof aspect" aspect

define proof of forallelim 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 pc11 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 forall metavar var x end metavar dot metavar var f end metavar end forall imply metavar var g end metavar cut all metavar var x end metavar indeed all metavar var g end metavar indeed all metavar var f end metavar indeed forall metavar var x end metavar dot metavar var f end metavar end forall infer pcmp modus ponens forall metavar var x end metavar dot metavar var f end metavar end forall modus ponens forall metavar var x end metavar dot metavar var f end metavar end forall imply metavar var g end metavar conclude metavar var g end metavar 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 forall metavar var x end metavar dot metavar var f end metavar end forall infer metavar var g end metavar conclude forall metavar var x end metavar dot metavar var f end metavar end forall infer metavar var g end metavar end quote state proof state cache var c end expand end define