Logiweb aspects of lemma plus0Left in pyk

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The predefined "pyk" aspect

define pyk of lemma plus0Left 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 capital l unicode small e unicode small f unicode small t unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma plus0Left as text unicode start of text unicode small p unicode small l unicode small u unicode small s unicode zero unicode capital l unicode small e unicode small f unicode small t unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma plus0Left as system Q infer all metavar var x end metavar indeed 0 + metavar var x end metavar = metavar var x end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma plus0Left as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed axiom plus0 conclude metavar var x end metavar + 0 = metavar var x end metavar cut axiom plusCommutativity conclude 0 + metavar var x end metavar = metavar var x end metavar + 0 cut lemma eqTransitivity modus ponens 0 + metavar var x end metavar = metavar var x end metavar + 0 modus ponens metavar var x end metavar + 0 = metavar var x end metavar conclude 0 + metavar var x end metavar = metavar var x end metavar end quote state proof state cache var c end expand end define