Theorems · Theorem · group theory
SemiconjBy.inv_inv_symm
∀ {G : Type u_1} [inst : DivisionMonoid G] {a x y : G}, SemiconjBy a y x → SemiconjBy a⁻¹ x⁻¹ y⁻¹Alias of the reverse direction of SemiconjBy.inv_inv_symm_iff.
- Defined in
- Mathlib.Algebra.Group.Semiconj.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- DivisionMonoid
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.
- DivisionMonoidstatement and proof · cited by 201
- SemiconjBystatement · cited by 99
- SemiconjBy.inv_inv_symm_iffproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Commute.inv_invproof · cited by 2