define pyk of lemma <<==Addition as text unicode start of text unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode less than unicode less than unicode equal sign unicode equal sign 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 <<==Addition as text unicode start of text unicode less than unicode less than unicode equal sign unicode equal sign 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 <<==Addition as system Q infer all metavar var fx end metavar indeed all metavar var fy end metavar indeed all metavar var fz end metavar indeed not0 R( metavar var fx end metavar ) << R( metavar var fy end metavar ) imply R( metavar var fx end metavar ) == R( metavar var fy end metavar ) infer not0 R( var fx +f var fy ) << R( var fx +f var fy ) imply R( var fx +f var fy ) == R( var fx +f var fy ) end define
define proof of lemma <<==Addition as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var fx end metavar indeed all metavar var fy end metavar indeed all metavar var fz end metavar indeed R( metavar var fx end metavar ) << R( metavar var fy end metavar ) infer lemma <
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,