Theorems · Theorem · group theory
self_ne_inv
∀ {G : Type u_2} [inst : Group G] [IsMulTorsionFree G] {a : G}, a ≠ a⁻¹ ↔ a ≠ 1- Defined in
- Mathlib.Algebra.Group.Torsion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupIsMulTorsionFree
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Iff.neproof · cited by 52
- IsMulTorsionFreestatement and proof · cited by 44
- self_eq_invproof · cited by 2
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