codisjoint_coe — Mathlib

English

Codisjoint is preserved by the coercion: Codisjoint(a.val, b) iff Codisjoint(a, b).

Русский

Кодискожизнь сохраняется через вложение: Codisjoint(a.val, b) эквивалентно Codisjoint(a, b).

LaTeX

$$$\forall a,b\in \mathrm{Complementeds}(\alpha),\ Codisjoint(a.\mathrm{val}, b) \iff Codisjoint(a,b).$$$

Lean4

@[simp, norm_cast]
theorem codisjoint_coe : Codisjoint (a : α) b ↔ Codisjoint a b := by
  rw [codisjoint_iff, codisjoint_iff, ← coe_sup, ← coe_top, coe_inj]

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