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Theorems · Theorem · linear algebra

Matrix.diagonal_neg

∀ {n : Type u_3} {α : Type v} [inst : DecidableEq n] [inst_1 : NegZeroClass α] (d : n → α),
  -Matrix.diagonal d = Matrix.diagonal fun i => -d i
Defined in
Mathlib.Data.Matrix.Diagonal
Cited by
2 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
DecidableEqNegZeroClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.charpoly_mul_comm' · cited by 2Matrix.charpoly_mul_comm'LieAlgebra.Orthogonal.s_as_blocks · cited by 1Orthogonal.s_as_blocksMatrix · cited by 4303Matrixneg_zero · cited by 542neg_zeroMatrix.ext · cited by 540Matrix.extMatrix.diagonal · cited by 314Matrix.diagonalMatrix.diagonal_apply_eq · cited by 64Matrix.diagonal_apply_eqMatrix.diagonal_apply_ne · cited by 50Matrix.diagonal_apply_neNegZeroClass · cited by 23NegZeroClassMatrix.diagonal.congr_simp · cited by 12diagonal.congr_simpMatrix.diagonal_negCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.