define pyk of lemma a one 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 a unicode space unicode small o unicode small n unicode small e unicode end of text end unicode text end text end define
define tex of lemma a one as text unicode start of text unicode newline unicode capital a unicode one unicode apostrophe unicode end of text end unicode text end text end define
define statement of lemma a one as system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed ( metavar var a end metavar imply ( metavar var b end metavar imply metavar var a end metavar ) ) end define
define proof of lemma a one as lambda var c dot lambda var x dot proof expand quote system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed ( ( all metavar var a end metavar indeed all metavar var b end metavar indeed ( metavar var a end metavar infer ( metavar var b end metavar infer ( ( repetition modus ponens metavar var a end metavar ) conclude metavar var a end metavar ) ) ) ) cut ( ( deduction modus ponens all metavar var a end metavar indeed all metavar var b end metavar indeed ( metavar var a end metavar infer ( metavar var b end metavar infer metavar var a end metavar ) ) ) conclude ( metavar var a end metavar imply ( metavar var b end metavar imply metavar var a end metavar ) ) ) ) end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417 by Klaus Grue,