Logiweb aspects of corollary one point ten a in pyk

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The predefined "pyk" aspect

define pyk of corollary one point ten a as text unicode start of text unicode small c unicode small o unicode small r unicode small o unicode small l unicode small l unicode small a unicode small r unicode small y unicode space unicode small o unicode small n unicode small e unicode space unicode small p unicode small o unicode small i unicode small n unicode small t unicode space unicode small t unicode small e unicode small n unicode space unicode small a unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of corollary one point ten a as text unicode start of text unicode capital c unicode one unicode period unicode one unicode zero unicode small a unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of corollary one point ten a as system prime s infer all metavar var b end metavar indeed all metavar var c end metavar indeed all metavar var d end metavar indeed ( ( metavar var b end metavar peano imply metavar var c end metavar ) infer ( ( metavar var c end metavar peano imply metavar var d end metavar ) infer ( metavar var b end metavar peano imply metavar var d end metavar ) ) ) end define

The user defined "the proof aspect" aspect

define proof of corollary one point ten a as lambda var c dot lambda var x dot proof expand quote system prime s infer all metavar var b end metavar indeed all metavar var c end metavar indeed all metavar var d end metavar indeed ( ( metavar var b end metavar peano imply metavar var c end metavar ) infer ( ( metavar var c end metavar peano imply metavar var d end metavar ) infer ( ( axiom prime a one conclude ( ( metavar var c end metavar peano imply metavar var d end metavar ) peano imply ( metavar var b end metavar peano imply ( metavar var c end metavar peano imply metavar var d end metavar ) ) ) ) cut ( ( ( ( rule prime mp modus ponens ( ( metavar var c end metavar peano imply metavar var d end metavar ) peano imply ( metavar var b end metavar peano imply ( metavar var c end metavar peano imply metavar var d end metavar ) ) ) ) modus ponens ( metavar var c end metavar peano imply metavar var d end metavar ) ) conclude ( metavar var b end metavar peano imply ( metavar var c end metavar peano imply metavar var d end metavar ) ) ) cut ( ( axiom prime a two conclude ( ( metavar var b end metavar peano imply ( metavar var c end metavar peano imply metavar var d end metavar ) ) peano imply ( ( metavar var b end metavar peano imply metavar var c end metavar ) peano imply ( metavar var b end metavar peano imply metavar var d end metavar ) ) ) ) cut ( ( ( ( rule prime mp modus ponens ( ( metavar var b end metavar peano imply ( metavar var c end metavar peano imply metavar var d end metavar ) ) peano imply ( ( metavar var b end metavar peano imply metavar var c end metavar ) peano imply ( metavar var b end metavar peano imply metavar var d end metavar ) ) ) ) modus ponens ( metavar var b end metavar peano imply ( metavar var c end metavar peano imply metavar var d end metavar ) ) ) conclude ( ( metavar var b end metavar peano imply metavar var c end metavar ) peano imply ( metavar var b end metavar peano imply metavar var d end metavar ) ) ) cut ( ( ( rule prime mp modus ponens ( ( metavar var b end metavar peano imply metavar var c end metavar ) peano imply ( metavar var b end metavar peano imply metavar var d end metavar ) ) ) modus ponens ( metavar var b end metavar peano imply metavar var c end metavar ) ) conclude ( metavar var b end metavar peano imply metavar var d end metavar ) ) ) ) ) ) ) ) end quote state proof state cache var c end expand end define