Theorems · Definition · commutative algebra
Module.toAddMonoidEnd
(R : Type u_1) → (M : Type u_3) → [inst : Semiring R] → [inst_1 : AddCommMonoid M] → [Module R M] → R →+* AddMonoid.End M
(•) as an AddMonoidHom.
This is a stronger version of DistribMulAction.toAddMonoidEnd
- Defined in
- Mathlib.Algebra.Module.End
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
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.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- RingHomstatement · cited by 10,189
- MonoidHomproof · cited by 3,629
- AddMonoid.Endstatement and proof · cited by 64
- DistribMulAction.toAddMonoidEndproof · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- Module.annihilatorproof · cited by 61
- smulAddHomproof · cited by 17
- AddMonoidHom.smulproof · cited by 2
- Module.toAddMonoidEnd_apply_applystatement and proof · cited by 0