toDualTopEquiv_coe — Mathlib

English

The map From WithTop αᵒᵈ to (WithBot α)ᵒᵈ aligns with taking the dual and conjuring the dual embedding.

Русский

Отображение From WithTop αᵒᵈ в (WithBot α)ᵒᵈ согласуется с дуальностью и вложением.

LaTeX

$$$\\text{WithTop.toDualBotEquiv} = toDual \\circ WithTop.ofDual$$$

Lean4

@[simp]
theorem toDualTopEquiv_coe [LE α] (a : α) : WithBot.toDualTopEquiv ↑(toDual a) = toDual (a : WithTop α) :=
  rfl

Похожие утверждения