Theorems · Theorem · group theory
Units.mk_semiconjBy
∀ {M : Type u_1} [inst : Monoid M] (u : Mˣ) (x : M), SemiconjBy (↑u) x (↑u * x * ↑u⁻¹)a semiconjugates x to a * x * a⁻¹.
- Defined in
- Mathlib.Algebra.Group.Semiconj.Units
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- SemiconjBystatement · cited by 99
- Units.inv_mul_cancel_rightproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Units.conj_powproof · cited by 1
- CircleDeg1Lift.translationNumber_conj_eqproof · cited by 1