Theorems · Theorem · commutative algebra
Subsemiring.toSubsemiring_homogeneousCore_le
∀ {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 : Subsemiring A),
(Subsemiring.homogeneousCore 𝒜 R).toSubsemiring ≤ R- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- SetLike.coeproof · cited by 8,199
- AddMonoidstatement and proof · cited by 2,864
- SetLikestatement and proof · cited by 1,084
- Subsemiringstatement and proof · cited by 456
- GradedRingstatement and proof · cited by 424
- AddSubmonoidClassstatement and proof · cited by 346
- Set.image_preimage_subsetproof · cited by 75
- Subsemiring.closure_leproof · cited by 12
- HomogeneousSubsemiring.toSubsemiringstatement · cited by 6
- Subsemiring.homogeneousCorestatement · cited by 2
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