Logiweb aspects of lemma timesR(Sym) in pyk

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The predefined "pyk" aspect

define pyk of lemma timesR(Sym) 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 capital r unicode left parenthesis unicode capital s unicode small y unicode small m unicode right parenthesis unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma timesR(Sym) as text unicode start of text unicode capital t unicode small i unicode small m unicode small e unicode small s unicode capital r unicode left parenthesis unicode capital s unicode small y unicode small m unicode right parenthesis unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma timesR(Sym) as system Q infer all metavar var fx end metavar indeed all metavar var fy end metavar indeed R( metavar var fx end metavar *f metavar var fy end metavar ) == R( metavar var fx end metavar ) ** R( metavar var fy end metavar ) end define

The user defined "the proof aspect" aspect

define proof of lemma timesR(Sym) as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var fx end metavar indeed all metavar var fy end metavar indeed axiom timesR conclude R( metavar var fx end metavar ) ** R( metavar var fy end metavar ) == R( metavar var fx end metavar *f metavar var fy end metavar ) cut lemma ==Symmetry modus ponens R( metavar var fx end metavar ) ** R( metavar var fy end metavar ) == R( metavar var fx end metavar *f metavar var fy end metavar ) conclude R( metavar var fx end metavar *f metavar var fy end metavar ) == R( metavar var fx end metavar ) ** R( metavar var fy end metavar ) end quote state proof state cache var c end expand end define