Theorems · Theorem · group theory
AddEquiv.addOrderOf_eq
∀ {G : Type u_1} [inst : AddMonoid G] {H : Type u_6} [inst_1 : AddMonoid H] (e : G ≃+ H) (x : G),
addOrderOf (e x) = addOrderOf xAn additive equivalence preserves orders of elements.
- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddMonoidstatement and proof · cited by 2,864
- AddEquivstatement and proof · cited by 1,087
- addOrderOfstatement · cited by 208
- AddEquiv.toAddMonoidHomproof · cited by 101
- AddEquiv.injectiveproof · cited by 58
- addOrderOf_injectiveproof · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.