define pyk of lemma eqAddition as text unicode start of text unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode small e unicode small q unicode capital a unicode small d unicode small d unicode small i unicode small t unicode small i unicode small o unicode small n unicode end of text end unicode text end text end define
define tex of lemma eqAddition as text unicode start of text unicode small e unicode small q unicode capital a unicode small d unicode small d unicode small i unicode small t unicode small i unicode small o unicode small n unicode end of text end unicode text end text end define
define statement of lemma eqAddition as system Q infer all metavar var x end metavar indeed all metavar var y end metavar indeed all metavar var z end metavar indeed metavar var x end metavar = metavar var y end metavar infer metavar var x end metavar + metavar var z end metavar = metavar var y end metavar + metavar var z end metavar end define
define proof of lemma eqAddition as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed all metavar var y end metavar indeed all metavar var z end metavar indeed metavar var x end metavar = metavar var y end metavar infer axiom eqAddition conclude metavar var x end metavar = metavar var y end metavar imply metavar var x end metavar + metavar var z end metavar = metavar var y end metavar + metavar var z end metavar cut 1rule mp modus ponens metavar var x end metavar = metavar var y end metavar imply metavar var x end metavar + metavar var z end metavar = metavar var y end metavar + metavar var z end metavar modus ponens metavar var x end metavar = metavar var y end metavar conclude metavar var x end metavar + metavar var z end metavar = metavar var y end metavar + metavar var z end metavar end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,