Theorems · Theorem · ring theory
Algebra.iInf_toSubsemiring
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] {ι : Sort u_1}
(S : ι → Subalgebra R A), (iInf S).toSubsemiring = ⨅ i, (S i).toSubsemiring- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
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Cites10
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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Set.rangeproof · cited by 4,705
- iInfstatement · cited by 1,690
- Subalgebrastatement and proof · cited by 1,353
- InfSet.sInfproof · cited by 935
- Subsemiringstatement · cited by 456
- Subalgebra.toSubsemiringstatement and proof · cited by 115
- Algebra.sInf_toSubsemiringproof · cited by 2
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