Theorems · Definition · ring theory
Pi.constAlgHom
(R : Type u_2) →
[inst : CommSemiring R] →
(A : Type u_5) → (B : Type u_6) → [inst_1 : Semiring B] → [inst_2 : Algebra R B] → B →ₐ[R] A → BFunction.const as an AlgHom. The name matches Pi.constRingHom, Pi.constMonoidHom,
etc.
- Defined in
- Mathlib.Algebra.Algebra.Pi
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
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
- Pi.constRingHomproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Pi.constAlgHom_eq_algebra_ofIdstatement · cited by 0
- Pi.constAlgHom_applystatement and proof · cited by 0