Theorems · Theorem · linear algebra
Matrix.transpose_natCast
∀ {n : Type u_3} {α : Type v} [inst : DecidableEq n] [inst_1 : AddMonoidWithOne α] (d : ℕ), (↑d).transpose = ↑d- Defined in
- Mathlib.Data.Matrix.Diagonal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEqAddMonoidWithOne
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.transposestatement · cited by 389
- AddMonoidWithOnestatement and proof · cited by 313
- Matrix.diagonal_transposeproof · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.conjTranspose_natCastproof · cited by 3
- Matrix.transpose_ofNatproof · cited by 0