Theorems · Theorem · group theory
IsOfFinAddOrder.neg
∀ {G : Type u_1} [inst : AddGroup G] {x : G}, IsOfFinAddOrder x → IsOfFinAddOrder (-x)Alias of the reverse direction of isOfFinAddOrder_neg_iff.
Inverses of elements of finite additive order
have finite additive order.
- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
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- AddGroupstatement and proof · cited by 4,410
- IsOfFinAddOrderstatement · cited by 105
- isOfFinAddOrder_neg_iffproof · cited by 2
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