Logiweb aspects of inference axiom prime a one in pyk

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The predefined "pyk" aspect

define pyk of inference axiom prime a one as text unicode start of text unicode small i unicode small n unicode small f unicode small e unicode small r unicode small e unicode small n unicode small c unicode small e unicode space unicode small a unicode small x unicode small i unicode small o unicode small m 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 end of text end unicode text end text end define

The predefined "tex" aspect

define tex of inference axiom prime a one as text unicode start of text unicode capital a unicode one unicode apostrophe unicode underscore unicode left brace unicode small i unicode right brace unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of inference axiom prime a one as system prime s infer 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 peano imply metavar var a end metavar ) ) end define

The user defined "the proof aspect" aspect

define proof of inference axiom prime a one 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 b end metavar indeed ( metavar var a end metavar infer ( ( axiom prime a one conclude ( metavar var a end metavar peano imply ( metavar var b end metavar peano imply metavar var a end metavar ) ) ) cut ( ( ( rule prime mp modus ponens ( metavar var a end metavar peano imply ( metavar var b end metavar peano imply metavar var a end metavar ) ) ) modus ponens metavar var a end metavar ) conclude ( metavar var b end metavar peano imply metavar var a end metavar ) ) ) ) end quote state proof state cache var c end expand end define