Theorems · Theorem · ring theory
star_inv_natCast_smul
∀ {R : Type u_1} {M : Type u_2} [inst : DivisionSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
[inst_3 : StarAddMonoid M] (n : ℕ) (x : M), star ((↑n)⁻¹ • x) = (↑n)⁻¹ • star x- Defined in
- Mathlib.Algebra.Star.Module
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 29 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
- AddCommMonoidstatement and proof · cited by 12,281
- Star.starstatement · cited by 1,082
- StarAddMonoidstatement and proof · cited by 296
- DivisionSemiringstatement and proof · cited by 216
- starAddEquivproof · cited by 25
- map_inv_natCast_smulproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.conjTranspose_inv_natCast_smulproof · cited by 1