Theorems · Definition · ring theory
AlgHom.snd
(R : Type u_1) →
(A : Type u_2) →
(B : Type u_3) →
[inst : CommSemiring R] →
[inst_1 : Semiring A] → [inst_2 : Algebra R A] → [inst_3 : Semiring B] → [inst_4 : Algebra R B] → A × B →ₐ[R] BSecond projection as AlgHom.
- Defined in
- Mathlib.Algebra.Algebra.Prod
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- RingHomproof · cited by 10,189
- AlgHomstatement · cited by 3,236
- RingHom.sndproof · cited by 39
Cited by12
Results whose statement or proof uses this declaration.
- StarAlgHom.sndproof · cited by 5
- AlgHom.pullbackproof · cited by 5
- ContinuousAlgHom.sndproof · cited by 4
- AlgHom.prodEquivproof · cited by 2
- AlgHom.pullbackSndproof · cited by 2
- Polynomial.aeval_prodproof · cited by 1
- ContinuousAlgHom.coe_sndstatement · cited by 0
- AlgHom.snd_applystatement · cited by 0
- AlgHom.snd_prodstatement and proof · cited by 0
- AlgHom.prodEquiv_symm_applystatement · cited by 0
- AlgHom.prod_fst_sndstatement · cited by 0
- IsIntegral.pair_iffproof · cited by 0