Logiweb aspects of lemma times1f in pyk

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The predefined "pyk" aspect

define pyk of lemma times1f 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 small f unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma times1f as text unicode start of text unicode capital t unicode small i unicode small m unicode small e unicode small s unicode one unicode small f unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma times1f as system Q infer all metavar var m end metavar indeed all metavar var fx end metavar indeed metavar var fx end metavar *f 1f =f metavar var fx end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma times1f as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var m end metavar indeed all metavar var fx end metavar indeed axiom timesF conclude [ metavar var fx end metavar *f 1f ; metavar var m end metavar ] = [ metavar var fx end metavar ; metavar var m end metavar ] * [ 1f ; metavar var m end metavar ] cut axiom 1f conclude [ 1f ; metavar var m end metavar ] = 1 cut lemma eqMultiplicationLeft modus ponens [ 1f ; metavar var m end metavar ] = 1 conclude [ metavar var fx end metavar ; metavar var m end metavar ] * [ 1f ; metavar var m end metavar ] = [ metavar var fx end metavar ; metavar var m end metavar ] * 1 cut axiom times1 conclude [ metavar var fx end metavar ; metavar var m end metavar ] * 1 = [ metavar var fx end metavar ; metavar var m end metavar ] cut lemma eqTransitivity4 modus ponens [ metavar var fx end metavar *f 1f ; metavar var m end metavar ] = [ metavar var fx end metavar ; metavar var m end metavar ] * [ 1f ; metavar var m end metavar ] modus ponens [ metavar var fx end metavar ; metavar var m end metavar ] * [ 1f ; metavar var m end metavar ] = [ metavar var fx end metavar ; metavar var m end metavar ] * 1 modus ponens [ metavar var fx end metavar ; metavar var m end metavar ] * 1 = [ metavar var fx end metavar ; metavar var m end metavar ] conclude [ metavar var fx end metavar *f 1f ; metavar var m end metavar ] = [ metavar var fx end metavar ; metavar var m end metavar ] cut 1rule to=f modus ponens [ metavar var fx end metavar *f 1f ; metavar var m end metavar ] = [ metavar var fx end metavar ; metavar var m end metavar ] conclude metavar var fx end metavar *f 1f =f metavar var fx end metavar end quote state proof state cache var c end expand end define