Theorems · Theorem · group theory
AddSemiconjBy.function_semiconj_add_right_swap
∀ {G : Type u_1} [inst : AddSemigroup G] {a b c : G},
AddSemiconjBy 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
- AddSemigroup
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.
- add_assocproof · cited by 746
- AddSemigroupstatement and proof · cited by 136
- Function.Semiconjstatement · cited by 82
- AddSemiconjBystatement and proof · cited by 56
- AddSemiconjBy.eqproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- AddCommute.function_commute_add_rightproof · cited by 0