Theorems · Theorem · linear algebra
Matrix.map_star_eq_diagonal
∀ {n : Type u_3} {α : Type v} [inst : DecidableEq n] [inst_1 : AddMonoid α] [inst_2 : StarAddMonoid α]
{M : Matrix n n α} {v : n → α}, M.map star = Matrix.diagonal v ↔ M = Matrix.diagonal (star v)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
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Cites10
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
- AddMonoidstatement and proof · cited by 2,864
- Star.starstatement and proof · cited by 1,082
- Matrix.diagonalstatement and proof · cited by 314
- StarAddMonoidstatement and proof · cited by 296
- Matrix.mapstatement · cited by 247
- Function.Involutive.eq_iffproof · cited by 22
- InvolutiveStar.star_involutiveproof · cited by 11
- Matrix.map_involutiveproof · cited by 4
- Matrix.map_diagonal_starproof · cited by 2
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