equivIcoMod_coe — Mathlib

English

For Archimedean α with 0 < p and additive structure, the equivalence class equivIcoMod hp a (−) coincides with the pair ⟨toIcoMod hp a b, toIcoMod_mem_Ico hp a b⟩.

Русский

Для Archimedean α с 0 < p и аддитивной структурой эквивалентность equivIcoMod hp a b совпадает с парой ⟨toIcoMod hp a b, доказательство принадлежности toIcoMod_mem_Ico hp a b⟩.

LaTeX

$$QuotientAddGroup.equivIcoMod hp a b = ⟨toIcoMod hp a b, toIcoMod_mem_Ico hp a b⟩$$

Lean4

@[simp]
theorem equivIcoMod_coe (a b : α) : QuotientAddGroup.equivIcoMod hp a ↑b = ⟨toIcoMod hp a b, toIcoMod_mem_Ico hp a _⟩ :=
  rfl

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