Logiweb aspects of lemma times1Left in pyk

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The predefined "pyk" aspect

define pyk of lemma times1Left 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 one 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 times1Left as text unicode start of text unicode small t unicode small i unicode small m unicode small e unicode small s unicode one 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 times1Left 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 times1Left as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed axiom times1 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