Theorems · Theorem · group theory
DistribMulActionHom.ext
∀ {M : Type u_1} [inst : Monoid M] {N : Type u_2} [inst_1 : Monoid N] {φ : M →* N} {A : Type u_4} [inst_2 : AddMonoid A]
[inst_3 : DistribMulAction M A] {B : Type u_5} [inst_4 : AddMonoid B] [inst_5 : DistribMulAction N B]
{f g : A →ₑ+[φ] B}, (∀ (x : A), f x = g x) → f = g- Defined in
- Mathlib.GroupTheory.GroupAction.Hom
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- AddMonoidstatement and proof · cited by 2,864
- DistribMulActionstatement and proof · cited by 584
- DFunLike.extproof · cited by 240
- DistribMulActionHomstatement and proof · cited by 63
Cited by8
Results whose statement or proof uses this declaration.
- DistribMulActionHom.toAddMonoidHom_injectiveproof · cited by 4
- DistribMulActionHom.ext_ringproof · cited by 4
- DistribMulActionHom.toAddActionHom_injectiveproof · cited by 0
- DistribMulActionHom.comp_assocproof · cited by 0
- DistribMulActionHom.comp_idproof · cited by 0
- DistribMulActionHom.toLinearMap_injectiveproof · cited by 0
- DistribMulActionHom.ext_iffproof · cited by 0
- DistribMulActionHom.id_compproof · cited by 0