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
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
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
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
The pyk compiler, version 0.grue.20050603 by Klaus Grue,