Theorems · Theorem · linear algebra
Matrix.transpose_single
∀ {m : Type u_2} {n : Type u_3} {α : Type u_7} [inst : DecidableEq m] [inst_1 : DecidableEq n] [inst_2 : Zero α] (i : m)
(j : n) (a : α), (Matrix.single i j a).transpose = Matrix.single j i a- Defined in
- Mathlib.Data.Matrix.Basis
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEqDecidableEqZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement · cited by 4,303
- Matrix.extproof · cited by 540
- Matrix.transposestatement · cited by 389
- Matrix.singlestatement · cited by 129
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.single_eq_updateCol_zeroproof · cited by 1
- Matrix.conjTranspose_singleproof · cited by 0