Theorems · Theorem · ring theory
AlgHom.pi_evalAlgHom
∀ {ι : Type u_1} (R : Type u_2) (A : ι → Type u_3) [inst : CommSemiring R] [inst_1 : (i : ι) → Semiring (A i)]
[inst_2 : (i : ι) → Algebra R (A i)], AlgHom.pi (Pi.evalAlgHom R A) = AlgHom.id R ((i : ι) → A i)- Defined in
- Mathlib.Algebra.Algebra.Pi
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Pi.evalAlgHomstatement · cited by 13
- AlgHom.pistatement · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Pi.algHom_evalAlgHomproof · cited by 0