Logiweb aspects of lemma distributionOut in pyk

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The predefined "pyk" aspect

define pyk of lemma distributionOut 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 d unicode small i unicode small s unicode small t unicode small r unicode small i unicode small b unicode small u unicode small t unicode small i unicode small o unicode small n unicode capital o unicode small u unicode small t unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma distributionOut as text unicode start of text unicode capital d unicode small i unicode small s unicode small t unicode small r unicode small i unicode small b unicode small u unicode small t unicode small i unicode small o unicode small n unicode capital o unicode small u 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 distributionOut 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 metavar var x end metavar * metavar var y end metavar + metavar var x end metavar * metavar var z end metavar = metavar var x end metavar * metavar var y end metavar + metavar var z end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma distributionOut 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 axiom distribution 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 x end metavar * metavar var z end metavar cut lemma eqSymmetry 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 x end metavar * metavar var z end metavar conclude metavar var x end metavar * metavar var y end metavar + metavar var x end metavar * metavar var z end metavar = metavar var x end metavar * metavar var y end metavar + metavar var z end metavar end quote state proof state cache var c end expand end define