Theorems · Theorem · algebraic geometry
HomogeneousLocalization.mapId.congr_simp
∀ {ι : Type u_1} {A : Type u_2} {σ : Type u_3} [inst : CommRing A] [inst_1 : SetLike σ A]
[inst_2 : AddSubgroupClass σ A] [inst_3 : AddCommMonoid ι] [inst_4 : DecidableEq ι] (𝒜 : ι → σ)
[inst_5 : GradedRing 𝒜] {P Q : Submonoid A} (h : P ≤ Q),
HomogeneousLocalization.mapId 𝒜 h = HomogeneousLocalization.mapId 𝒜 h- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- AddCommMonoidstatement and proof · cited by 12,281
- RingHomstatement · cited by 10,189
- Submonoidstatement and proof · cited by 3,086
- SetLikestatement and proof · cited by 1,084
- GradedRingstatement and proof · cited by 424
- AddSubgroupClassstatement and proof · cited by 240
- HomogeneousLocalizationstatement · cited by 69
- HomogeneousLocalization.mapIdstatement and proof · cited by 7
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