Theorems · Inductive type · ring theory
AlgHomClass
(F : Type u_1) →
(R : outParam (Type u_2)) →
(A : outParam (Type u_3)) →
(B : outParam (Type u_4)) →
[inst : CommSemiring R] →
[inst_1 : Semiring A] → [inst_2 : Semiring B] → [Algebra R A] → [Algebra R B] → [FunLike F A B] → PropAlgHomClass F R A B asserts F is a type of bundled algebra homomorphisms
from A to B.
- Defined in
- Mathlib.Algebra.Algebra.Hom
- Cited by
- 50 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement · cited by 13,802
- Algebrastatement · cited by 11,388
- CommSemiringstatement · cited by 10,911
- FunLikestatement · cited by 2,560
Cited by61
Results whose statement or proof uses this declaration.
- Polynomial.aeval_algHom_applystatement and proof · cited by 31
- IsIntegral.mapstatement and proof · cited by 22
- AlgHomClass.commutesstatement and proof · cited by 15
- AlgHomClass.toAlgHomstatement and proof · cited by 14
- StarAlgHomClass.toStarAlgHomstatement and proof · cited by 7
- DirectLimit.Algebra.ofstatement and proof · cited by 6
- AlgHom.apply_mem_spectrumstatement and proof · cited by 5
- AlgHom.spectrum_apply_subsetstatement and proof · cited by 4
- StarAlgHom.equalizerstatement and proof · cited by 4
- GradedAlgHom.ofClassstatement and proof · cited by 3
- Derivation.liftOfRightInversestatement and proof · cited by 3
- DirectLimit.Algebra.liftstatement and proof · cited by 3