Logiweb aspects of equal reflexivity in pyk

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The predefined "pyk" aspect

define pyk of equal reflexivity as text unicode start of text unicode small e unicode small q unicode small u unicode small a unicode small l unicode space unicode small r unicode small e unicode small f unicode small l unicode small e unicode small x unicode small i unicode small v unicode small i unicode small t unicode small y unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of equal reflexivity as text unicode start of text unicode capital e unicode small q unicode small u unicode small a unicode small l unicode capital r unicode small e unicode small f unicode small l unicode small e unicode small x unicode small i unicode small v unicode small i unicode small t unicode small y unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of equal reflexivity as system prime s infer all metavar var t end metavar indeed ( metavar var t end metavar peano is metavar var t end metavar ) end define

The user defined "the proof aspect" aspect

define proof of equal reflexivity as lambda var c dot lambda var x dot proof expand quote system prime s infer all metavar var t end metavar indeed ( ( axiom prime s five conclude ( ( metavar var t end metavar peano plus peano zero ) peano is metavar var t end metavar ) ) cut ( ( axiom prime s one conclude ( ( ( metavar var t end metavar peano plus peano zero ) peano is metavar var t end metavar ) peano imply ( ( ( metavar var t end metavar peano plus peano zero ) peano is metavar var t end metavar ) peano imply ( metavar var t end metavar peano is metavar var t end metavar ) ) ) ) cut ( ( ( ( double mp prime modus ponens ( ( ( metavar var t end metavar peano plus peano zero ) peano is metavar var t end metavar ) peano imply ( ( ( metavar var t end metavar peano plus peano zero ) peano is metavar var t end metavar ) peano imply ( metavar var t end metavar peano is metavar var t end metavar ) ) ) ) modus ponens ( ( metavar var t end metavar peano plus peano zero ) peano is metavar var t end metavar ) ) modus ponens ( ( metavar var t end metavar peano plus peano zero ) peano is metavar var t end metavar ) ) conclude ( metavar var t end metavar peano is metavar var t end metavar ) ) ) ) end quote state proof state cache var c end expand end define