Theorems · Theorem · nonassociative algebras
NonUnitalAlgHom.coe_injective
∀ {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], Function.Injective DFunLike.coe- Defined in
- Mathlib.Algebra.Algebra.NonUnitalHom
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- AddMonoidproof · cited by 2,864
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- DistribMulActionstatement and proof · cited by 584
- NonUnitalAlgHomstatement and proof · cited by 148
- MulActionHomproof · cited by 124
- DistribMulActionHomproof · cited by 63
- MulActionHom.toFunproof · cited by 46
- DistribMulActionHom.toMulActionHomproof · cited by 30
- DistribMulActionHom.casesOnproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- NonUnitalAlgHom.extproof · cited by 7
- NonUnitalAlgHom.prod_fst_sndproof · cited by 0