Theorems · Theorem · group theory
addOrderOf_ne_zero_iff
∀ {G : Type u_1} [inst : AddMonoid G] {x : G}, addOrderOf x ≠ 0 ↔ IsOfFinAddOrder x- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- addOrderOfstatement · cited by 208
- IsOfFinAddOrderstatement · cited by 105
- Iff.not_leftproof · cited by 49
- addOrderOf_eq_zero_iffproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- IsOfFinAddOrder.piproof · cited by 0