Theorems · Theorem · group theory
conj_eq_one_iff
∀ {G : Type u_3} [inst : Group G] {a b : G}, a * b * a⁻¹ = 1 ↔ b = 1- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- Group
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
- mul_inv_eq_oneproof · cited by 20
- mul_eq_leftproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- SemiconjBy.eq_one_iffproof · cited by 1