Mathlib Map

Theorems · Theorem · linear algebra

Matrix.BlockTriangular.neg

∀ {α : Type u_1} {m : Type u_3} {R : Type v} {b : m → α} [inst : LT α] [inst_1 : NegZeroClass R] {M : Matrix m m R},
  M.BlockTriangular b → (-M).BlockTriangular b
Defined in
Mathlib.LinearAlgebra.Matrix.Block
Cited by
2 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
LTNegZeroClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.BlockTriangular.sub_iff_right · cited by 1BlockTriangular.sub_iff_r…Matrix.BlockTriangular.add_iff_right · cited by 0BlockTriangular.add_iff_r…Matrix · cited by 4303Matrixneg_zero · cited by 542neg_zeroMatrix.BlockTriangular · cited by 45Matrix.BlockTriangularNegZeroClass · cited by 23NegZeroClassMatrix.neg_apply · cited by 2Matrix.neg_applyBlockTriangular.negCITED BYCITES

Cites5

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.