Theorems · Theorem · ring theory
Subalgebra.center_toSubsemiring
∀ (R : Type u) (A : Type v) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A], (Subalgebra.center R A).toSubsemiring = Subsemiring.center A
- Defined in
- Mathlib.Algebra.Algebra.Subalgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
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Cites7
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
- Subsemiringstatement · cited by 456
- Subalgebra.toSubsemiringstatement and proof · cited by 115
- Subalgebra.centerstatement and proof · cited by 24
- Subsemiring.centerstatement · cited by 18
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