Theorems · Theorem · group theory
Subgroup.equivSMul_apply_coe
∀ {α : Type u_1} {G : Type u_2} [inst : Group G] [inst_1 : Group α] [inst_2 : MulDistribMulAction α G] (a : α)
(H : Subgroup G) (x : ↑↑H.toSubmonoid), ↑((Subgroup.equivSMul a H) x) = a • ↑x- Defined in
- Mathlib.Algebra.Group.Subgroup.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Equivstatement · cited by 8,337
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemstatement and proof · cited by 7,166
- Groupstatement and proof · cited by 6,238
- Set.imagestatement · cited by 5,609
- Subgroupstatement and proof · cited by 3,593
- Submonoidstatement · cited by 3,086
- MulEquivstatement · cited by 1,142
- EquivLike.toEquivstatement · cited by 125
- MulDistribMulActionstatement and proof · cited by 120
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