Theorems · Theorem · linear algebra
Matrix.BlockTriangular.sub
∀ {α : Type u_1} {m : Type u_3} {R : Type v} {M N : Matrix m m R} {b : m → α} [inst : LT α]
[inst_1 : SubNegZeroMonoid R], M.BlockTriangular b → N.BlockTriangular b → (M - N).BlockTriangular b- Defined in
- Mathlib.LinearAlgebra.Matrix.Block
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
- Assumes
- LTSubNegZeroMonoid
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 and proof · cited by 4,303
- sub_zeroproof · cited by 938
- Matrix.BlockTriangularstatement and proof · cited by 45
- SubNegZeroMonoidstatement and proof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.BlockTriangular.sub_iff_rightproof · cited by 1
- Matrix.BlockTriangular.add_iff_leftproof · cited by 0
- Matrix.BlockTriangular.sub_iff_leftproof · cited by 0