Theorems · Theorem · group theory
AddSubmonoid.mem_inv_pointwise_smul_iff
∀ {G : Type u_2} {A : Type u_4} [inst : AddMonoid A] [inst_1 : Group G] [inst_2 : DistribMulAction G A] {a : G}
{S : AddSubmonoid A} {x : A}, x ∈ a⁻¹ • S ↔ a • x ∈ S- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
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Cites6
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
- 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
- Set.mem_inv_smul_set_iffproof · cited by 12
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