Theorems · Theorem · ring theory
Subalgebra.comap_toSubsemiring
∀ {R : Type u} {A : Type v} {B : Type w} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
[inst_3 : Semiring B] [inst_4 : Algebra R B] (f : A →ₐ[R] B) (S : Subalgebra R B),
(Subalgebra.comap f S).toSubsemiring = Subsemiring.comap (↑f) S.toSubsemiring- Defined in
- Mathlib.Algebra.Algebra.Subalgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses no axioms
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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
- AlgHomstatement and proof · cited by 3,236
- Subalgebrastatement and proof · cited by 1,353
- RingHomClass.toRingHomstatement · cited by 746
- Subsemiringstatement · cited by 456
- Subalgebra.toSubsemiringstatement and proof · cited by 115
- Subalgebra.comapstatement and proof · cited by 23
- Subsemiring.comapstatement · cited by 20
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