Theorems · Theorem · ring theory
AlgEquiv.sumArrowEquivProdArrow_symm_apply_inr
∀ {α : Type u_1} {β : Type u_2} {R : Type u_3} [inst : CommSemiring R] (S : Type u_8) [inst_1 : Semiring S]
[inst_2 : Algebra R S] (x : (α → S) × (β → S)),
(AlgEquiv.sumArrowEquivProdArrow α β R S).symm x = (Equiv.sumArrowEquivProdArrow α β S).symm x- Defined in
- Mathlib.Algebra.Algebra.Pi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Equivstatement · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- AlgEquivstatement · cited by 1,681
- AlgEquiv.symmstatement · cited by 615
- Equiv.sumArrowEquivProdArrowstatement · cited by 9
- AlgEquiv.sumArrowEquivProdArrowstatement · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.