injectiveDimension_le_iff — Mathlib

English

HasInjectiveDimensionLE X n is equivalent to n ≥ some bound defined by injectiveDimension X in the ENat-ordered setting.

Русский

HasInjectiveDimensionLE X n эквивалентно некоторому ограничению на n в ENat-упорядочивании injectiveDimension X.

LaTeX

$$$\text{HasInjectiveDimensionLE}(X,n) \iff \text{something about } \operatorname{injectiveDimension}(X)$$$

Lean4

theorem injectiveDimension_le_iff (X : C) (n : ℕ) : injectiveDimension X ≤ n ↔ HasInjectiveDimensionLE X n := by
  simp [← injectiveDimension_lt_iff, ← WithBot.lt_add_one_iff]

Похожие утверждения