Theorems · Theorem · ring theory
star_qsmul
∀ {R : Type u_1} [inst : AddCommGroup R] [inst_1 : StarAddMonoid R] [inst_2 : Module ℚ R] (q : ℚ) (x : R),
star (q • x) = q • star xNote that this lemma holds for an arbitrary ℚ-action, rather than merely one coming from a
DivisionRing. We keep both the qsmul and rat_smul naming conventions for
discoverability. See star_rat_smul.
- Defined in
- Mathlib.Algebra.Star.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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- Modulestatement · cited by 20,661
- AddCommGroupstatement · cited by 12,871
- Star.starstatement · cited by 1,082
- StarAddMonoidstatement · cited by 296
- star_rat_smulproof · cited by 2
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