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Theorems · Theorem · commutative algebra

HomogeneousLocalization.mk_neg

∀ {ι : Type u_1} {A : Type u_2} {σ : Type u_3} [inst : CommRing A] [inst_1 : SetLike σ A] [inst_2 : NegMemClass σ A]
  {𝒜 : ι → σ} (x : Submonoid A) (i : HomogeneousLocalization.NumDenSameDeg 𝒜 x),
  HomogeneousLocalization.mk (-i) = -HomogeneousLocalization.mk i
Defined in
Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization
Cited by
1 results in Mathlib
Foundations
Depth 31 from the axioms · uses propext, Quot.sound
Assumes
CommRingSetLikeNegMemClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

HomogeneousLocalization.val_neg · cited by 3HomogeneousLocalization.v…CommRing · cited by 17173CommRingSubmonoid · cited by 3086SubmonoidSetLike · cited by 1084SetLikeHomogeneousLocalization.NumDenSameDeg · cited by 78HomogeneousLocalization.N…HomogeneousLocalization · cited by 69HomogeneousLocalizationHomogeneousLocalization.mk · cited by 55HomogeneousLocalization.mkNegMemClass · cited by 11NegMemClassHomogeneousLocalization.mk_negCITED BYCITES

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Cited by1

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