Theorems · Theorem · linear algebra
Matrix.conjTranspose_ratCast_smul
∀ {m : Type u_2} {n : Type u_3} {R : Type u_7} {α : Type v} [inst : DivisionRing R] [inst_1 : AddCommGroup α]
[inst_2 : StarAddMonoid α] [inst_3 : Module R α] (c : ℚ) (M : Matrix m n α),
(↑c • M).conjTranspose = ↑c • M.conjTranspose- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- AddCommGroupstatement and proof · cited by 12,871
- Matrixstatement and proof · cited by 4,303
- Star.starproof · cited by 1,082
- DivisionRingstatement and proof · cited by 1,062
- Matrix.extproof · cited by 540
- StarAddMonoidstatement and proof · cited by 296
- Matrix.conjTransposestatement · cited by 202
- star_ratCast_smulproof · cited by 1
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