Theorems · Theorem · ring theory
commute_star_star
∀ {R : Type u} [inst : Mul R] [inst_1 : StarMul R] {x y : R}, Commute (star x) (star y) ↔ Commute x y- Defined in
- Mathlib.Algebra.Star.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Star.starstatement · cited by 1,082
- Commutestatement · cited by 639
- StarMulstatement and proof · cited by 195
- semiconjBy_star_star_starproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- commute_star_commproof · cited by 2
- Commute.star_starproof · cited by 1