Logiweb(TM)

Logiweb aspects of plus commutativity base in pyk

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The predefined "pyk" aspect

define pyk of plus commutativity base as text unicode start of text unicode small p unicode small l unicode small u unicode small s unicode space unicode small c unicode small o unicode small m unicode small m unicode small u unicode small t unicode small a unicode small t unicode small i unicode small v unicode small i unicode small t unicode small y 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

The predefined "tex" aspect

define tex of plus commutativity base as text unicode start of text unicode capital p unicode small l unicode small u unicode small s unicode capital c unicode small o unicode small m unicode small m unicode small u unicode small t unicode small a unicode small t unicode small i unicode small v unicode small i unicode small t unicode small y unicode capital b unicode small a unicode small s unicode small e unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of plus commutativity base as system prime s infer ( ( var t peano var peano plus peano zero ) peano is ( peano zero peano plus ( var t peano var ) ) ) end define

The user defined "the proof aspect" aspect

define proof of plus commutativity base as lambda var c dot lambda var x dot proof expand quote system prime s infer ( ( axiom prime s five conclude ( ( var t peano var peano plus peano zero ) peano is ( var t peano var ) ) ) cut ( ( mendelson three two f conclude ( var t peano var peano is ( peano zero peano plus ( var t peano var ) ) ) ) cut ( ( ( equal transitivity rule modus ponens ( ( var t peano var peano plus peano zero ) peano is ( var t peano var ) ) ) modus ponens ( var t peano var peano is ( peano zero peano plus ( var t peano var ) ) ) ) conclude ( ( var t peano var peano plus peano zero ) peano is ( peano zero peano plus ( var t peano var ) ) ) ) ) ) end quote state proof state cache var c end expand end define

The pyk compiler, version 0.grue.20050603 by Klaus Grue,
GRD-2005-06-29.UTC:11:26:23.740136 = MJD-53550.TAI:11:26:55.740136 = LGT-4626761215740136e-6