Theorems · Theorem · group theory
finEquivZMultiples_apply
∀ {G : Type u_1} [inst : AddGroup G] {x : G} (hx : IsOfFinAddOrder x) {n : Fin (addOrderOf x)},
(finEquivZMultiples hx) n = ⟨↑n • x, ⋯⟩- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddSubgroup.zmultiplesstatement · cited by 493
- addOrderOfstatement and proof · cited by 208
- natCast_zsmulstatement · cited by 118
- IsOfFinAddOrderstatement and proof · cited by 105
- finEquivZMultiplesstatement · cited by 5
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