Logiweb aspects of prop three two g base in pyk

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The predefined "pyk" aspect

define pyk of prop three two g base as text unicode start of text unicode small p unicode small r unicode small o unicode small p 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 g 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 prop three two g base as text unicode start of text unicode backslash unicode small m unicode small a unicode small t unicode small h unicode small i unicode small t unicode left brace unicode capital m unicode small e unicode small n unicode small d unicode small e unicode small l unicode small s unicode small o unicode small n unicode backslash unicode semicolon unicode three unicode period unicode two unicode left parenthesis unicode small g unicode right parenthesis unicode underscore unicode zero unicode right brace unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of prop three two g base as system prime s infer ( ( var r peano var peano succ peano plus peano zero ) peano is ( ( var r peano var peano plus peano zero ) peano succ ) ) end define

The user defined "the proof aspect" aspect

define proof of prop three two g base as lambda var c dot lambda var x dot proof expand quote system prime s infer ( ( axiom prime s five conclude ( ( var r peano var peano succ peano plus peano zero ) peano is ( var r peano var peano succ ) ) ) cut ( ( axiom prime s five conclude ( ( var r peano var peano plus peano zero ) peano is ( var r peano var ) ) ) cut ( ( axiom prime s two conclude ( ( ( var r peano var peano plus peano zero ) peano is ( var r peano var ) ) peano imply ( ( var r peano var peano plus peano zero ) peano succ peano is ( var r peano var peano succ ) ) ) ) cut ( ( ( ( rule prime mp modus ponens ( ( ( var r peano var peano plus peano zero ) peano is ( var r peano var ) ) peano imply ( ( var r peano var peano plus peano zero ) peano succ peano is ( var r peano var peano succ ) ) ) ) modus ponens ( ( var r peano var peano plus peano zero ) peano is ( var r peano var ) ) ) conclude ( ( var r peano var peano plus peano zero ) peano succ peano is ( var r peano var peano succ ) ) ) cut ( ( ( prop three two d rule modus ponens ( ( var r peano var peano succ peano plus peano zero ) peano is ( var r peano var peano succ ) ) ) modus ponens ( ( var r peano var peano plus peano zero ) peano succ peano is ( var r peano var peano succ ) ) ) conclude ( ( var r peano var peano succ peano plus peano zero ) peano is ( ( var r peano var peano plus peano zero ) peano succ ) ) ) ) ) ) ) end quote state proof state cache var c end expand end define