Logiweb aspects of lemma plus00 in pyk

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The predefined "pyk" aspect

define pyk of lemma plus00 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 p unicode small l unicode small u unicode small s unicode zero unicode zero unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma plus00 as text unicode start of text unicode capital p unicode small l unicode small u unicode small s unicode zero unicode zero unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma plus00 as system Q infer all metavar var fx end metavar indeed R( var fx +f var fy ) == R( metavar var fx end metavar ) end define

The user defined "the proof aspect" aspect

define proof of lemma plus00 as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var fx end metavar indeed lemma plus0f conclude metavar var fx end metavar +f 0f =f metavar var fx end metavar cut lemma =f to sameF modus ponens metavar var fx end metavar +f 0f =f metavar var fx end metavar conclude metavar var fx end metavar +f 0f sameF metavar var fx end metavar cut lemma f2R(Plus) modus ponens metavar var fx end metavar +f 0f sameF metavar var fx end metavar conclude R( var fx +f var fy ) == R( metavar var fx end metavar ) cut 1rule repetition modus ponens R( var fx +f var fy ) == R( metavar var fx end metavar ) conclude R( var fx +f var fy ) == R( metavar var fx end metavar ) end quote state proof state cache var c end expand end define