Logiweb aspects of commutativity lemma in pyk

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The predefined "pyk" aspect

define pyk of commutativity lemma as text unicode start of text 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 space unicode small l unicode small e unicode small m unicode small m unicode small a unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of commutativity lemma 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 end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of commutativity lemma 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 commutativity lemma as 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 ( ( reflexivity lemma init modus dereference modus at metavar var a end metavar ) cut ( ( ( ( example rule lemma init modus dereference modus at metavar var a end metavar ) at metavar var b end metavar ) at metavar var a end metavar ) modus modus ) ) ) end quote end define