Theorems · Definition · nonassociative algebras
NonUnitalAlgHom.toMulHom
{R : Type u} →
{S : Type u₁} →
[inst : Monoid R] →
[inst_1 : Monoid S] →
{φ : R →* S} →
{A : Type v} →
{B : Type w} →
[inst_2 : NonUnitalNonAssocSemiring A] →
[inst_3 : DistribMulAction R A] →
[inst_4 : NonUnitalNonAssocSemiring B] → [inst_5 : DistribMulAction S B] → (A →ₛₙₐ[φ] B) → A →ₙ* B- Defined in
- Mathlib.Algebra.Algebra.NonUnitalHom
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
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.
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- DistribMulActionstatement and proof · cited by 584
- MulHomstatement · cited by 299
- NonUnitalAlgHomstatement and proof · cited by 148
- MulActionHom.toFunproof · cited by 46
- DistribMulActionHom.toMulActionHomproof · cited by 30
- NonUnitalAlgHom.toDistribMulActionHomproof · cited by 14
- NonUnitalAlgHom.map_mul'proof · cited by 0
Cited by11
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.liftMagmaproof · cited by 2
- MonoidAlgebra.liftMagmaproof · cited by 2
- SkewMonoidAlgebra.nonUnitalAlgHom_ext'statement and proof · cited by 1
- MonoidAlgebra.nonUnitalAlgHom_ext'statement and proof · cited by 1
- AddMonoidAlgebra.nonUnitalAlgHom_ext'statement and proof · cited by 1
- SkewMonoidAlgebra.nonUnitalAlgHom_ext'_iffstatement and proof · cited by 0
- NonUnitalAlgHom.toMulHom_eq_coestatement · cited by 0
- AddMonoidAlgebra.liftMagma_symm_applystatement · cited by 0
- MonoidAlgebra.liftMagma_symm_applystatement · cited by 0
- AddMonoidAlgebra.nonUnitalAlgHom_ext'_iffstatement and proof · cited by 0
- MonoidAlgebra.nonUnitalAlgHom_ext'_iffstatement and proof · cited by 0