define pyk of lemma base(1/2)Sum zero exact 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 b unicode small a unicode small s unicode small e unicode left parenthesis unicode one unicode slash unicode two unicode right parenthesis unicode capital s unicode small u unicode small m unicode space unicode small z unicode small e unicode small r unicode small o unicode space unicode small e unicode small x unicode small a unicode small c unicode small t unicode end of text end unicode text end text end define
define tex of lemma base(1/2)Sum zero exact as text unicode start of text unicode capital b unicode capital s unicode small z unicode small e unicode small r unicode small o unicode left parenthesis unicode capital e unicode small x unicode small a unicode small c unicode small t unicode right parenthesis unicode end of text end unicode text end text end define
define statement of lemma base(1/2)Sum zero exact as system Q infer all metavar var m end metavar indeed base(1/2)Sum( metavar var m end metavar , 0 ) = 1/ 1 + 1 ^ metavar var m end metavar end define
define proof of lemma base(1/2)Sum zero exact as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var m end metavar indeed lemma eqReflexivity conclude 0 = 0 cut 1rule base(1/2)Sum zero modus ponens 0 = 0 conclude base(1/2)Sum( metavar var m end metavar , 0 ) = 1/ 1 + 1 ^ metavar var m end metavar end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,