Logiweb aspects of lemma three2twoTerms in pyk

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The predefined "pyk" aspect

define pyk of lemma three2twoTerms 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 h unicode small r unicode small e unicode small e unicode two unicode small t unicode small w unicode small o unicode capital t unicode small e unicode small r unicode small m unicode small s unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma three2twoTerms as text unicode start of text unicode capital t unicode small h unicode small r unicode small e unicode small e unicode two unicode small t unicode small w unicode small o unicode capital t unicode small e unicode small r unicode small m unicode small s unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma three2twoTerms as system Q infer all metavar var x end metavar indeed all metavar var y end metavar indeed all metavar var z end metavar indeed all metavar var u end metavar indeed metavar var y end metavar + metavar var z end metavar = metavar var u end metavar infer metavar var x end metavar + metavar var y end metavar + metavar var z end metavar = metavar var x end metavar + metavar var u end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma three2twoTerms as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed all metavar var y end metavar indeed all metavar var z end metavar indeed all metavar var u end metavar indeed metavar var y end metavar + metavar var z end metavar = metavar var u end metavar infer lemma eqAdditionLeft modus ponens metavar var y end metavar + metavar var z end metavar = metavar var u end metavar conclude metavar var x end metavar + metavar var y end metavar + metavar var z end metavar = metavar var x end metavar + metavar var u end metavar cut axiom plusAssociativity conclude metavar var x end metavar + metavar var y end metavar + metavar var z end metavar = metavar var x end metavar + metavar var y end metavar + metavar var z end metavar cut lemma eqTransitivity modus ponens metavar var x end metavar + metavar var y end metavar + metavar var z end metavar = metavar var x end metavar + metavar var y end metavar + metavar var z end metavar modus ponens metavar var x end metavar + metavar var y end metavar + metavar var z end metavar = metavar var x end metavar + metavar var u end metavar conclude metavar var x end metavar + metavar var y end metavar + metavar var z end metavar = metavar var x end metavar + metavar var u end metavar end quote state proof state cache var c end expand end define