Theorems · Theorem · linear algebra
Matrix.conjTranspose_inv_natCast_smul
∀ {m : Type u_2} {n : Type u_3} {R : Type u_7} {α : Type v} [inst : DivisionSemiring R] [inst_1 : AddCommMonoid α]
[inst_2 : StarAddMonoid α] [inst_3 : Module R α] (c : ℕ) (M : Matrix m n α),
((↑c)⁻¹ • M).conjTranspose = (↑c)⁻¹ • M.conjTranspose- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Matrixstatement and proof · cited by 4,303
- Star.starproof · cited by 1,082
- Matrix.extproof · cited by 540
- StarAddMonoidstatement and proof · cited by 296
- DivisionSemiringstatement and proof · cited by 216
- Matrix.conjTransposestatement · cited by 202
- star_inv_natCast_smulproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.conjTranspose_inv_ofNat_smulproof · cited by 0