Theorems · Theorem · linear algebra
Matrix.updateRow_conjTranspose
∀ {m : Type u_2} {n : Type u_3} {α : Type v} {M : Matrix m n α} {j : n} {c : m → α} [inst : DecidableEq n]
[inst_1 : Star α], M.conjTranspose.updateRow j (star c) = (M.updateCol j c).conjTranspose- Defined in
- Mathlib.LinearAlgebra.Matrix.RowCol
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEqStar
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement and proof · cited by 4,303
- Star.starstatement and proof · cited by 1,082
- Starstatement and proof · cited by 496
- Matrix.transposeproof · cited by 389
- Matrix.mapproof · cited by 247
- Matrix.conjTransposestatement and proof · cited by 202
- Matrix.updateRowstatement and proof · cited by 63
- Matrix.updateColstatement and proof · cited by 45
- Matrix.updateRow_transposeproof · cited by 12
- Matrix.transpose_mapproof · cited by 8
- Matrix.map_updateColproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.