Theorems · Theorem · group theory
AddSubmonoid.smul_sup
∀ {M : Type u_3} {A : Type u_4} [inst : Monoid M] [inst_1 : AddMonoid A] [inst_2 : DistribMulAction M A] (m : M)
(S T : AddSubmonoid A), m • (S ⊔ T) = m • S ⊔ m • T- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement and proof · cited by 1,178
- DistribMulActionstatement and proof · cited by 584
- AddSubmonoid.pointwiseMulActionstatement · cited by 23
- DistribMulAction.toAddMonoidEndproof · cited by 9
- AddSubmonoid.map_supproof · cited by 4
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