Theorems · Theorem · ring theory
AlgHom.coe_monoidHom_injective
∀ {R : Type u} {A : Type v} {B : Type w} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Semiring B]
[inst_3 : Algebra R A] [inst_4 : Algebra R B], Function.Injective MonoidHomClass.toMonoidHom- Defined in
- Mathlib.Algebra.Algebra.Hom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- MonoidHomstatement · cited by 3,629
- AlgHomstatement · cited by 3,236
- MonoidHomClass.toMonoidHomstatement · cited by 294
- AlgHom.coe_ringHom_injectiveproof · cited by 20
- RingHom.coe_monoidHom_injectiveproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- GradedAlgHom.coe_monoidHom_injectiveproof · cited by 0