Theorems · Theorem · ring theory
MulSemiringAction.toAlgHom_injective
∀ {M : Type u_1} (R : Type u_3) (A : Type u_4) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
[inst_3 : Monoid M] [inst_4 : MulSemiringAction M A] [inst_5 : SMulCommClass M R A] [FaithfulSMul M A],
Function.Injective (MulSemiringAction.toAlgHom R A)- Defined in
- Mathlib.Algebra.Algebra.Hom
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Monoidstatement and proof · cited by 3,887
- AlgHomstatement · cited by 3,236
- SMulCommClassstatement and proof · cited by 1,927
- MulSemiringActionstatement and proof · cited by 423
- FaithfulSMulstatement and proof · cited by 340
- FaithfulSMul.eq_of_smul_eq_smulproof · cited by 22
- MulSemiringAction.toAlgHomstatement and proof · cited by 10
- AlgHom.ext_iffproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- FixedPoints.finrank_eq_cardproof · cited by 3
- FixedPoints.toAlgHom_bijectiveproof · cited by 1