define pyk of lemma times01 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 t unicode small i unicode small m unicode small e unicode small s unicode zero unicode one unicode end of text end unicode text end text end define
define tex of lemma times01 as text unicode start of text unicode capital t unicode small i unicode small m unicode small e unicode small s unicode zero unicode one unicode end of text end unicode text end text end define
define statement of lemma times01 as system Q infer all metavar var fx end metavar indeed R( metavar var fx end metavar ) ** R( 1f ) == R( metavar var fx end metavar ) end define
define proof of lemma times01 as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var fx end metavar indeed lemma times1f conclude metavar var fx end metavar *f 1f =f metavar var fx end metavar cut lemma =f to sameF modus ponens metavar var fx end metavar *f 1f =f metavar var fx end metavar conclude metavar var fx end metavar *f 1f sameF metavar var fx end metavar cut lemma f2R(Times) modus ponens metavar var fx end metavar *f 1f sameF metavar var fx end metavar conclude R( metavar var fx end metavar ) ** R( 1f ) == R( metavar var fx end metavar ) cut 1rule repetition modus ponens R( metavar var fx end metavar ) ** R( 1f ) == R( metavar var fx end metavar ) conclude R( metavar var fx end metavar ) ** R( 1f ) == R( metavar var fx end metavar ) end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,