Logiweb aspects of forallintro in pyk

Up Help

The predefined "pyk" aspect

define pyk of forallintro 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 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 forallintro as pred calc infer all metavar var f end metavar indeed all metavar var g end metavar indeed all metavar var x end metavar indeed quote metavar var x end metavar end quote avoid zero quote metavar var g end metavar lor lnot metavar var g end metavar end quote endorse metavar var f end metavar infer forall metavar var x end metavar dot metavar var f end metavar end forall end define

The user defined "the proof aspect" aspect

define proof of forallintro as lambda var c dot lambda var x dot proof expand quote pred calc infer all metavar var f end metavar indeed all metavar var g end metavar indeed all metavar var x end metavar indeed quote metavar var x end metavar end quote avoid zero quote metavar var g end metavar lor lnot metavar var g end metavar end quote endorse metavar var f end metavar infer lem conclude metavar var g end metavar lor lnot metavar var g end metavar cut all metavar var g end metavar indeed all metavar var f end metavar indeed metavar var g end metavar lor lnot metavar var g end metavar infer repeat modus ponens metavar var f end metavar conclude metavar var f end metavar cut pcdeduction modus ponens all metavar var g end metavar indeed all metavar var f end metavar indeed metavar var g end metavar lor lnot metavar var g end metavar infer metavar var f end metavar conclude metavar var g end metavar lor lnot metavar var g end metavar imply metavar var f end metavar cut pcia modus probans quote metavar var x end metavar end quote avoid zero quote metavar var g end metavar lor lnot metavar var g end metavar end quote modus ponens metavar var g end metavar lor lnot metavar var g end metavar imply metavar var f end metavar conclude metavar var g end metavar lor lnot metavar var g end metavar imply forall metavar var x end metavar dot metavar var f end metavar end forall cut pcmp modus ponens metavar var g end metavar lor lnot metavar var g end metavar modus ponens metavar var g end metavar lor lnot metavar var g end metavar imply forall metavar var x end metavar dot metavar var f end metavar end forall conclude forall metavar var x end metavar dot metavar var f end metavar end forall end quote state proof state cache var c end expand end define