Theorems · Theorem · ring theory
star_div
∀ {R : Type u} [inst : CommGroup R] [inst_1 : StarMul R] (x y : R), star (x / y) = star x / star yWhen multiplication is commutative, star preserves division.
- Defined in
- Mathlib.Algebra.Star.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Star.starstatement · cited by 1,082
- CommGroupstatement and proof · cited by 990
- StarMulstatement and proof · cited by 195
- map_divproof · cited by 20
- starMulAutproof · cited by 3
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