orderIsoSumLexPUnit_top — Mathlib

English

The value of sumLexDualAntidistrib on the left injector is inr of the dual: sumLexDualAntidistrib α β (toDual (inl a)) = inr (toDual a).

Русский

Значение sumLexDualAntidistrib на левой инъекции равно inr двойственности: sumLexDualAntidistrib α β (toDual (inl a)) = inr (toDual a).

LaTeX

$$$\\text{sumLexDualAntidistrib}_{\\alpha,\\beta}(\\mathrm{toDual}(\\mathrm{inl}(a))) = \\mathrm{inr}(\\mathrm{toDual}(a))$$$

Lean4

@[simp]
theorem orderIsoSumLexPUnit_top : @orderIsoSumLexPUnit α _ ⊤ = toLex (inr PUnit.unit) :=
  rfl

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