Theorems · Theorem · ring theory
AlgHom.prod_fst_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], (AlgHom.fst R A B).prod (AlgHom.snd R A B) = AlgHom.id R (A × B)- Defined in
- Mathlib.Algebra.Algebra.Prod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
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Cites8
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 · cited by 3,236
- AlgHom.idstatement · cited by 196
- AlgHom.prodstatement · cited by 9
- AlgHom.sndstatement · cited by 7
- AlgHom.fststatement · cited by 7
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