Theorems · Theorem · ring theory
MulSemiringAction.toAlgHom_apply
∀ {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] (m : M) (a : A),
(MulSemiringAction.toAlgHom R A m) a = m • a- Defined in
- Mathlib.Algebra.Algebra.Hom
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- 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
- MulSemiringAction.toAlgHomstatement and proof · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.aeval_smulproof · cited by 1
- IsArithFrobAt.conjproof · cited by 1
- IsArithFrobAt.mul_inv_mem_inertiaproof · cited by 0