Theorems · Theorem · commutative algebra
Subsemiring.homogeneousCore_mono
∀ {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],
Monotone (Subsemiring.homogeneousCore 𝒜)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
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
- AddMonoidstatement and proof · cited by 2,864
- Monotonestatement · cited by 1,397
- 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_monoproof · cited by 197
- SetLike.IsHomogeneousElemproof · cited by 18
- HomogeneousSubsemiringstatement · cited by 12
- Subsemiring.closure_monoproof · cited by 4
- Subsemiring.homogeneousCorestatement · cited by 2
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