Logiweb aspects of lemma times(-1)Left in pyk

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The predefined "pyk" aspect

define pyk of lemma times(-1)Left as text unicode start of text unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode small t unicode small i unicode small m unicode small e unicode small s unicode left parenthesis unicode hyphen unicode one unicode right parenthesis unicode capital l unicode small e unicode small f unicode small t unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma times(-1)Left as text unicode start of text unicode capital t unicode small i unicode small m unicode small e unicode small s unicode left parenthesis unicode hyphen unicode one unicode right parenthesis unicode capital l unicode small e unicode small f unicode small t unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma times(-1)Left as system Q infer all metavar var x end metavar indeed - 1 * metavar var x end metavar = - metavar var x end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma times(-1)Left as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed lemma times(-1) conclude metavar var x end metavar * - 1 = - metavar var x end metavar cut axiom timesCommutativity conclude - 1 * metavar var x end metavar = metavar var x end metavar * - 1 cut lemma eqTransitivity modus ponens - 1 * metavar var x end metavar = metavar var x end metavar * - 1 modus ponens metavar var x end metavar * - 1 = - metavar var x end metavar conclude - 1 * metavar var x end metavar = - metavar var x end metavar end quote state proof state cache var c end expand end define