Theorems · Theorem · ring theory
star_ratCast_smul
∀ {R : Type u_1} {M : Type u_2} [inst : DivisionRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
[inst_3 : StarAddMonoid M] (n : ℚ) (x : M), star (↑n • x) = ↑n • star x- Defined in
- Mathlib.Algebra.Star.Module
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Star.starstatement · cited by 1,082
- DivisionRingstatement and proof · cited by 1,062
- StarAddMonoidstatement and proof · cited by 296
- starAddEquivproof · cited by 25
- map_ratCast_smulproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.conjTranspose_ratCast_smulproof · cited by 0