Theorems · Theorem · linear algebra
Matrix.conjTranspose_single
∀ {m : Type u_2} {n : Type u_3} {α : Type v} [inst : DecidableEq n] [inst_1 : DecidableEq m] [inst_2 : AddMonoid α]
[inst_3 : StarAddMonoid α] (i : m) (j : n) (a : α), (Matrix.single i j a).conjTranspose = Matrix.single j i (star a)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Matrixstatement · cited by 4,303
- AddMonoidstatement and proof · cited by 2,864
- Star.starstatement and proof · cited by 1,082
- StarAddMonoidstatement and proof · cited by 296
- Matrix.mapproof · cited by 247
- Matrix.conjTransposestatement · cited by 202
- Matrix.singlestatement and proof · cited by 129
- starAddEquivproof · cited by 25
- starAddEquiv_applyproof · cited by 5
- Matrix.transpose_singleproof · cited by 2
- Matrix.map_singleproof · cited by 2
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