Theorems · Theorem · group theory
Commute.function_commute_mul_right
∀ {G : Type u_1} [inst : Semigroup G] {a b : G}, Commute a b → Function.Commute (fun x => x * a) fun x => x * b- Defined in
- Mathlib.Algebra.Group.Commute.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- Semigroup
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Commutestatement and proof · cited by 639
- Semigroupstatement and proof · cited by 202
- Function.Commutestatement · cited by 54
- SemiconjBy.function_semiconj_mul_right_swapproof · cited by 1
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