Theorems · Theorem · linear algebra
Matrix.diagonal_eq_zero
∀ {n : Type u_3} {α : Type v} [inst : DecidableEq n] [inst_1 : Zero α] {d : n → α}, Matrix.diagonal d = 0 ↔ d = 0- Defined in
- Mathlib.Data.Matrix.Diagonal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEqZero
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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.diagonalstatement · cited by 314
- Matrix.diagonal_zeroproof · cited by 9
- Matrix.diagonal_injectiveproof · cited by 6
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