Logiweb aspects of lemma f2R(Times) in pyk

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The predefined "pyk" aspect

define pyk of lemma f2R(Times) 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 f unicode two unicode capital r unicode left parenthesis unicode capital t unicode small i unicode small m unicode small e unicode small s unicode right parenthesis unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma f2R(Times) as text unicode start of text unicode small f unicode two unicode capital r unicode left parenthesis unicode capital t unicode small i unicode small m unicode small e unicode small s 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 f2R(Times) as system Q infer all metavar var fx end metavar indeed all metavar var fy end metavar indeed all metavar var fz end metavar indeed metavar var fx end metavar *f metavar var fy end metavar sameF metavar var fz end metavar infer R( metavar var fx end metavar ) ** R( metavar var fy end metavar ) == R( metavar var fz end metavar ) end define

The user defined "the proof aspect" aspect

define proof of lemma f2R(Times) 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 all metavar var fz end metavar indeed metavar var fx end metavar *f metavar var fy end metavar sameF metavar var fz end metavar infer 1rule to== modus ponens metavar var fx end metavar *f metavar var fy end metavar sameF metavar var fz end metavar conclude R( metavar var fx end metavar *f metavar var fy end metavar ) == R( metavar var fz end metavar ) cut 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 ==Transitivity 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 ) modus ponens R( metavar var fx end metavar *f metavar var fy end metavar ) == R( metavar var fz end metavar ) conclude R( metavar var fx end metavar ) ** R( metavar var fy end metavar ) == R( metavar var fz end metavar ) end quote state proof state cache var c end expand end define