Logiweb aspects of add one in pyk

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The predefined "pyk" aspect

define pyk of add one as text unicode start of text unicode small a unicode small d unicode small d 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 add one as text unicode start of text unicode capital a unicode small d unicode small d unicode capital o unicode small n unicode small e unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of add one as system prime s infer all metavar var t end metavar indeed all metavar var r end metavar indeed ( ( metavar var t end metavar peano is metavar var r end metavar ) infer ( metavar var t end metavar peano succ peano is ( metavar var r end metavar peano succ ) ) ) end define

The user defined "the proof aspect" aspect

define proof of add one as lambda var c dot lambda var x dot proof expand quote system prime s infer all metavar var t end metavar indeed all metavar var r end metavar indeed ( ( metavar var t end metavar peano is metavar var r end metavar ) infer ( ( axiom prime s two conclude ( ( metavar var t end metavar peano is metavar var r end metavar ) peano imply ( metavar var t end metavar peano succ peano is ( metavar var r end metavar peano succ ) ) ) ) cut ( ( ( rule prime mp modus ponens ( ( metavar var t end metavar peano is metavar var r end metavar ) peano imply ( metavar var t end metavar peano succ peano is ( metavar var r end metavar peano succ ) ) ) ) modus ponens ( metavar var t end metavar peano is metavar var r end metavar ) ) conclude ( metavar var t end metavar peano succ peano is ( metavar var r end metavar peano succ ) ) ) ) ) end quote state proof state cache var c end expand end define