define pyk of lemma positiveNonzero 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 p unicode small o unicode small s unicode small i unicode small t unicode small i unicode small v unicode small e unicode capital n unicode small o unicode small n unicode small z unicode small e unicode small r unicode small o unicode end of text end unicode text end text end define
define tex of lemma positiveNonzero as text unicode start of text unicode capital p unicode small o unicode small s unicode small i unicode small t unicode small i unicode small v unicode small e unicode capital n unicode small o unicode small n unicode small z unicode small e unicode small r unicode small o unicode end of text end unicode text end text end define
define statement of lemma positiveNonzero as system Q infer all metavar var x end metavar indeed not0 0 <= metavar var x end metavar imply not0 not0 0 = metavar var x end metavar infer not0 metavar var x end metavar = 0 end define
define proof of lemma positiveNonzero as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed not0 0 <= metavar var x end metavar imply not0 not0 0 = metavar var x end metavar infer 1rule repetition modus ponens not0 0 <= metavar var x end metavar imply not0 not0 0 = metavar var x end metavar conclude not0 0 <= metavar var x end metavar imply not0 not0 0 = metavar var x end metavar cut prop lemma second conjunct modus ponens not0 0 <= metavar var x end metavar imply not0 not0 0 = metavar var x end metavar conclude not0 0 = metavar var x end metavar cut lemma neqSymmetry modus ponens not0 0 = metavar var x end metavar conclude not0 metavar var x end metavar = 0 end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,