Logiweb aspects of tactic commutativity in pyk

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The predefined "pyk" aspect

define pyk of tactic commutativity as text unicode start of text unicode small t unicode small a unicode small c unicode small t unicode small i unicode small c unicode space unicode small c unicode small o unicode small m unicode small m unicode small u unicode small t unicode small a unicode small t 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 tactic commutativity as text unicode start of text unicode newline unicode capital c unicode small o unicode small m unicode small m unicode small u unicode small t unicode small a unicode small t unicode small i unicode small v unicode small i unicode small t unicode small y unicode underscore unicode one unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of tactic commutativity as example theory infer all metavar var a end metavar indeed all metavar var b end metavar indeed ( ( metavar var a end metavar math equal metavar var b end metavar ) infer ( metavar var b end metavar math equal metavar var a end metavar ) ) end define

The user defined "the proof aspect" aspect

define proof of tactic commutativity as lambda var c dot lambda var x dot proof expand quote example theory infer all metavar var a end metavar indeed all metavar var b end metavar indeed ( ( metavar var a end metavar math equal metavar var b end metavar ) infer ( ( tactic reflexivity conclude ( metavar var a end metavar math equal metavar var a end metavar ) ) cut ( ( ( example rule lemma modus ponens ( metavar var a end metavar math equal metavar var b end metavar ) ) modus ponens ( metavar var a end metavar math equal metavar var a end metavar ) ) conclude ( metavar var b end metavar math equal metavar var a end metavar ) ) ) ) end quote state proof state cache var c end expand end define