Theorems · Theorem · commutative algebra

HomogeneousLocalization.Away.isLocalizationElem.congr_simp

∀ {A : Type u_2} {σ : Type u_3} [inst : CommRing A] [inst_1 : SetLike σ A] [inst_2 : AddSubgroupClass σ A] {𝒜 : ℕ → σ}
  [inst_3 : GradedRing 𝒜] {e e_1 : ℕ} (e_e : e = e_1) {d d_1 : ℕ} (e_d : d = d_1) {f : A} (hf : f ∈ 𝒜 d) {g g_1 : A}
  (e_g : g = g_1) (hg : g ∈ 𝒜 e),
  HomogeneousLocalization.Away.isLocalizationElem hf hg = HomogeneousLocalization.Away.isLocalizationElem ⋯ ⋯

Defined in

Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization

Cited by

0 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingSetLikeAddSubgroupClassGradedRing