define pyk of lemma prime l three two f base 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 l unicode space unicode small t unicode small h unicode small r unicode small e unicode small e unicode space unicode small t unicode small w unicode small o unicode space unicode small f unicode space unicode small b unicode small a unicode small s unicode small e unicode end of text end unicode text end text end define
define tex of lemma prime l three two f base as text unicode start of text unicode left brace unicode capital l unicode three unicode period unicode two unicode left parenthesis unicode small f unicode right parenthesis unicode apostrophe unicode right brace unicode underscore unicode left brace unicode capital b unicode capital a unicode capital s unicode capital e unicode right brace unicode end of text end unicode text end text end define
define statement of lemma prime l three two f base as system prime s infer ( peano zero peano is ( peano zero peano plus peano zero ) ) end define
define proof of lemma prime l three two f base as lambda var c dot lambda var x dot proof expand quote system prime s infer ( ( axiom prime s five conclude ( ( peano zero peano plus peano zero ) peano is peano zero ) ) cut ( ( lemma prime l three two b conclude ( ( ( peano zero peano plus peano zero ) peano is peano zero ) peano imply ( peano zero peano is ( peano zero peano plus peano zero ) ) ) ) cut ( ( ( rule prime mp modus ponens ( ( ( peano zero peano plus peano zero ) peano is peano zero ) peano imply ( peano zero peano is ( peano zero peano plus peano zero ) ) ) ) modus ponens ( ( peano zero peano plus peano zero ) peano is peano zero ) ) conclude ( peano zero peano is ( peano zero peano plus peano zero ) ) ) ) ) end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20050603 by Klaus Grue,