Theorems · Theorem · group theory
multiplesEquivMultiples_apply
∀ {G : Type u_1} [inst : AddLeftCancelMonoid G] [inst_1 : Finite G] {x y : G} (h : addOrderOf x = addOrderOf y) (n : ℕ),
(multiplesEquivMultiples h) ⟨n • x, ⋯⟩ = ⟨n • y, ⋯⟩- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddLeftCancelMonoidFinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Equivstatement and proof · cited by 8,337
- Equiv.symmproof · cited by 3,681
- Finitestatement and proof · cited by 3,029
- AddSubmonoidstatement · cited by 1,178
- Equiv.transproof · cited by 337
- addOrderOfstatement and proof · cited by 208
- Equiv.eq_symm_applyproof · cited by 85
- finCongrproof · cited by 78
- finCongr_applyproof · cited by 47
- AddSubmonoid.multiplesstatement and proof · cited by 40
- AddLeftCancelMonoidstatement and proof · cited by 37
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.