Theorems · Definition · group theory
DistribMulAction.toAddAut
(G : Type u_1) → (A : Type u_3) → [inst : Group G] → [inst_1 : AddMonoid A] → [DistribMulAction G A] → G →* Multiplicative (AddAut A)
Each element of the group defines an additive monoid isomorphism.
This is a stronger version of MulAction.toPermHom.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, 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.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- AddMonoidstatement and proof · cited by 2,864
- Multiplicativestatement · cited by 875
- DistribMulActionstatement and proof · cited by 584
- AddAutstatement · cited by 75
- DistribMulAction.toAddEquivproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- AddAut.mulLeftproof · cited by 3
- AddAut.mulRightproof · cited by 2
- DistribMulAction.toAddAut_applystatement and proof · cited by 0