Theorems · Theorem · group theory
SemiconjBy.function_semiconj_mul_right_swap
∀ {G : Type u_1} [inst : Semigroup G] {a b c : G},
SemiconjBy a b c → Function.Semiconj (fun x => x * a) (fun x => x * c) fun x => x * b- Defined in
- Mathlib.Algebra.Group.Commute.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext
- Assumes
- Semigroup
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.
- mul_assocproof · cited by 1,667
- Semigroupstatement and proof · cited by 202
- SemiconjBystatement and proof · cited by 99
- Function.Semiconjstatement · cited by 82
- SemiconjBy.eqproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- Commute.function_commute_mul_rightproof · cited by 0