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Theorems · Theorem · commutative algebra

HomogeneousSubsemiring.ext_iff

∀ {ι : Type u_1} {σ : Type u_2} {A : Type u_3} [inst : AddMonoid ι] [inst_1 : Semiring A] [inst_2 : SetLike σ A]
  [inst_3 : AddSubmonoidClass σ A] {𝒜 : ι → σ} [inst_4 : DecidableEq ι] [inst_5 : GradedRing 𝒜]
  {R S : HomogeneousSubsemiring 𝒜}, R = S ↔ R.toSubsemiring = S.toSubsemiring
Defined in
Mathlib.RingTheory.GradedAlgebra.Homogeneous.Subsemiring
Cited by
0 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoidSemiringSetLikeAddSubmonoidClassDecidableEqGradedRing
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Semiring · cited by 13802SemiringAddMonoid · cited by 2864AddMonoidSetLike · cited by 1084SetLikeSubsemiring · cited by 456SubsemiringGradedRing · cited by 424GradedRingAddSubmonoidClass · cited by 346AddSubmonoidClassHomogeneousSubsemiring · cited by 12HomogeneousSubsemiringHomogeneousSubsemiring.toSubsemiring · cited by 6HomogeneousSubsemiring.to…HomogeneousSubsemiring.ext · cited by 1HomogeneousSubsemiring.extHomogeneousSubsemiring.ext_iffCITED BYCITES

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