define pyk of lemma prime a one star 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 r unicode small i unicode small m unicode small e unicode space unicode small a unicode space unicode small o unicode small n unicode small e unicode space unicode small s unicode small t unicode small a unicode small r unicode end of text end unicode text end text end define
define tex of lemma prime a one star as text unicode start of text unicode left brace unicode capital a unicode one unicode apostrophe unicode right brace unicode circumflex unicode asterisk unicode end of text end unicode text end text end define
define statement of lemma prime a one star as system prime s infer all metavar var a end metavar indeed all metavar var h end metavar indeed ( metavar var a end metavar infer ( metavar var h end metavar peano imply metavar var a end metavar ) ) end define
define proof of lemma prime a one star as lambda var c dot lambda var x dot proof expand quote system prime s infer all metavar var a end metavar indeed all metavar var h end metavar indeed ( metavar var a end metavar infer ( ( axiom prime a one conclude ( metavar var a end metavar peano imply ( metavar var h end metavar peano imply metavar var a end metavar ) ) ) cut ( ( ( rule prime mp modus ponens ( metavar var a end metavar peano imply ( metavar var h end metavar peano imply metavar var a end metavar ) ) ) modus ponens metavar var a end metavar ) conclude ( metavar var h end metavar peano imply metavar var a end metavar ) ) ) ) end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20050603 by Klaus Grue,