Theorems · Theorem · group theory
inv_eq_self
∀ {G : Type u_2} [inst : Group G] [IsMulTorsionFree G] {a : G}, a⁻¹ = a ↔ a = 1- Defined in
- Mathlib.Algebra.Group.Torsion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupIsMulTorsionFree
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- IsMulTorsionFreestatement and proof · cited by 44
- self_eq_invproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- inv_ne_selfproof · cited by 0