Theorems · Theorem · group theory
AddAction.zmultiplesQuotientStabilizerEquiv_symm_apply
∀ {α : Type u_3} {β : Type u_4} [inst : AddGroup α] (a : α) [inst_1 : AddAction α β] (b : β)
(n : ZMod (Function.minimalPeriod (fun x => a +ᵥ x) b)),
(AddAction.zmultiplesQuotientStabilizerEquiv a b).symm n = n.cast • ↑⟨a, ⋯⟩- Defined in
- Mathlib.Data.ZMod.QuotientGroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 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 · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- HasQuotient.Quotientstatement · cited by 2,301
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddEquivstatement · cited by 1,087
- ZModstatement and proof · cited by 1,024
- AddActionstatement and proof · cited by 820
- AddEquiv.symmstatement · cited by 530
- AddSubgroup.zmultiplesstatement · cited by 493
- QuotientAddGroup.mkstatement · cited by 348
- AddAction.stabilizerstatement · cited by 112
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