define pyk of prop three two j as text unicode start of text unicode small p unicode small r unicode small o unicode small p unicode space unicode small t unicode small h unicode small r unicode small e unicode small e unicode space unicode small t unicode small w unicode small o unicode space unicode small j unicode end of text end unicode text end text end define
define tex of prop three two j as text unicode start of text unicode newline unicode capital p unicode small r unicode small o unicode small p unicode backslash unicode space unicode three unicode period unicode two unicode small j unicode end of text end unicode text end text end define
define statement of prop three two j as system s infer for all terms metavar var a end metavar comma metavar var b end metavar comma metavar var c end metavar indeed metavar var a end metavar plus metavar var b end metavar plus metavar var c end metavar equal metavar var a end metavar plus metavar var b end metavar plus metavar var c end metavar end define
define proof of prop three two j as lambda var c dot lambda var x dot proof expand quote system s infer any term metavar var a end metavar comma metavar var b end metavar comma metavar var c end metavar end line block prop three two j one conclude macro indent object var var x end var plus object var var y end var plus zero equal object var var x end var plus object var var y end var plus zero cut prop three two j two conclude macro indent object var var x end var plus object var var y end var plus object var var z end var equal object var var x end var plus object var var y end var plus object var var z end var imply object var var x end var plus object var var y end var plus object var var z end var suc equal object var var x end var plus object var var y end var plus object var var z end var suc cut because axiom s nine at object var var z end var modus ponens macro indent object var var x end var plus object var var y end var plus zero equal object var var x end var plus object var var y end var plus zero modus ponens macro indent object var var x end var plus object var var y end var plus object var var z end var equal object var var x end var plus object var var y end var plus object var var z end var imply object var var x end var plus object var var y end var plus object var var z end var suc equal object var var x end var plus object var var y end var plus object var var z end var suc indeed macro indent object var var x end var plus object var var y end var plus object var var z end var equal object var var x end var plus object var var y end var plus object var var z end var end line line ell c end block deduction modus ponens ell c conclude metavar var a end metavar plus metavar var b end metavar plus metavar var c end metavar equal metavar var a end metavar plus metavar var b end metavar plus metavar var c end metavar end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,