Theorems · Theorem · group theory
AddSubmonoid.smul_closure
∀ {M : Type u_3} {A : Type u_4} [inst : Monoid M] [inst_1 : AddMonoid A] [inst_2 : DistribMulAction M A] (m : M)
(s : Set A), m • AddSubmonoid.closure s = AddSubmonoid.closure (m • s)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Monoidstatement and proof · cited by 3,887
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement · cited by 1,178
- Set.smulSetstatement · cited by 608
- DistribMulActionstatement and proof · cited by 584
- AddSubmonoid.closurestatement · cited by 224
- AddSubmonoid.pointwiseMulActionstatement · cited by 23
- AddMonoidHom.map_mclosureproof · cited by 12
- DistribMulAction.toAddMonoidEndproof · cited by 9
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