Theorems · Theorem · ring theory
AlgHom.subalgebraMap_surjective
∀ {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] (S : Subalgebra R A) (f : A →ₐ[R] B),
Function.Surjective ⇑(AlgHom.subalgebraMap S f)- Defined in
- Mathlib.Algebra.Algebra.Subalgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- 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
- AlgHom.toRingHomproof · cited by 490
- Subalgebra.mapstatement · cited by 90
- RingHom.toAddMonoidHomproof · cited by 17
- AddMonoidHom.addSubmonoidMap_surjectiveproof · cited by 3
- AlgHom.subalgebraMapstatement · cited by 3
- Subalgebra.toAddSubmonoidproof · cited by 2
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