Logiweb aspects of lemma plus0f in pyk

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The predefined "pyk" aspect

define pyk of lemma plus0f 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 small f unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma plus0f as text unicode start of text unicode capital p unicode small l unicode small u unicode small s unicode zero 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 plus0f as system Q infer all metavar var m end metavar indeed all metavar var fx end metavar indeed metavar var fx end metavar +f 0f =f metavar var fx end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma plus0f 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 plusF conclude [ metavar var fx end metavar +f 0f ; metavar var m end metavar ] = [ metavar var fx end metavar ; metavar var m end metavar ] + [ 0f ; metavar var m end metavar ] cut axiom 0f conclude [ 0f ; metavar var m end metavar ] = 0 cut lemma eqAdditionLeft modus ponens [ 0f ; metavar var m end metavar ] = 0 conclude [ metavar var fx end metavar ; metavar var m end metavar ] + [ 0f ; metavar var m end metavar ] = [ metavar var fx end metavar ; metavar var m end metavar ] + 0 cut axiom plus0 conclude [ metavar var fx end metavar ; metavar var m end metavar ] + 0 = [ metavar var fx end metavar ; metavar var m end metavar ] cut lemma eqTransitivity4 modus ponens [ metavar var fx end metavar +f 0f ; metavar var m end metavar ] = [ metavar var fx end metavar ; metavar var m end metavar ] + [ 0f ; metavar var m end metavar ] modus ponens [ metavar var fx end metavar ; metavar var m end metavar ] + [ 0f ; metavar var m end metavar ] = [ metavar var fx end metavar ; metavar var m end metavar ] + 0 modus ponens [ metavar var fx end metavar ; metavar var m end metavar ] + 0 = [ metavar var fx end metavar ; metavar var m end metavar ] conclude [ metavar var fx end metavar +f 0f ; 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 0f ; metavar var m end metavar ] = [ metavar var fx end metavar ; metavar var m end metavar ] conclude metavar var fx end metavar +f 0f =f metavar var fx end metavar end quote state proof state cache var c end expand end define