Theorems · Theorem · ring theory
AlgEquiv.sumArrowEquivProdArrow_apply
∀ {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 ⊕ β → S),
(AlgEquiv.sumArrowEquivProdArrow α β R S) x = (Equiv.sumArrowEquivProdArrow α β S) x- Defined in
- Mathlib.Algebra.Algebra.Pi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
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Cites8
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
- AlgEquivstatement · cited by 1,681
- Equiv.sumArrowEquivProdArrowstatement · cited by 9
- AlgEquiv.sumArrowEquivProdArrowstatement · cited by 3
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