Theorems · Theorem · group theory
SemiconjBy.conj_iff
∀ {G : Type u_3} [inst : Group G] {a x y b : G}, SemiconjBy (b * a * b⁻¹) (b * x * b⁻¹) (b * y * b⁻¹) ↔ SemiconjBy a x y- Defined in
- Mathlib.Algebra.Group.Semiconj.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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_assocproof · cited by 1,667
- SemiconjBystatement · cited by 99
- inv_mul_cancel_rightproof · cited by 70
- mul_left_cancel_iffproof · cited by 6
- mul_right_cancel_iffproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Commute.conj_iffproof · cited by 1