define pyk of lemma toLess 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 o unicode capital l unicode small e unicode small s unicode small s unicode end of text end unicode text end text end define
define tex of lemma toLess as text unicode start of text unicode capital t unicode small o unicode capital l unicode small e unicode small s unicode small s unicode end of text end unicode text end text end define
define statement of lemma toLess as system Q infer all metavar var x end metavar indeed all metavar var y end metavar indeed not0 metavar var x end metavar <= metavar var y end metavar infer not0 metavar var y end metavar <= metavar var x end metavar imply not0 not0 metavar var y end metavar = metavar var x end metavar end define
define proof of lemma toLess 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 not0 not0 metavar var y end metavar <= metavar var x end metavar imply not0 not0 metavar var y end metavar = metavar var x end metavar infer lemma fromNotLess modus ponens not0 not0 metavar var y end metavar <= metavar var x end metavar imply not0 not0 metavar var y end metavar = metavar var x end metavar conclude metavar var x end metavar <= metavar var y end metavar cut all metavar var x end metavar indeed all metavar var y end metavar indeed 1rule deduction modus ponens all metavar var x end metavar indeed all metavar var y end metavar indeed not0 not0 metavar var y end metavar <= metavar var x end metavar imply not0 not0 metavar var y end metavar = metavar var x end metavar infer metavar var x end metavar <= metavar var y end metavar conclude not0 not0 metavar var y end metavar <= metavar var x end metavar imply not0 not0 metavar var y end metavar = metavar var x end metavar imply metavar var x end metavar <= metavar var y end metavar cut not0 metavar var x end metavar <= metavar var y end metavar infer prop lemma negative mt modus ponens not0 not0 metavar var y end metavar <= metavar var x end metavar imply not0 not0 metavar var y end metavar = metavar var x end metavar imply metavar var x end metavar <= metavar var y end metavar modus ponens not0 metavar var x end metavar <= metavar var y end metavar conclude not0 metavar var y end metavar <= metavar var x end metavar imply not0 not0 metavar var y end metavar = metavar var x end metavar end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,