Theorems · Theorem · linear algebra
Matrix.blockTriangular_inv_of_blockTriangular
∀ {α : Type u_1} {m : Type u_3} {R : Type v} {M : Matrix m m R} {b : m → α} [inst : CommRing R] [inst_1 : DecidableEq m]
[inst_2 : Fintype m] [inst_3 : LinearOrder α] [Invertible M], M.BlockTriangular b → M⁻¹.BlockTriangular bThe inverse of a block-triangular matrix is block-triangular.
- Defined in
- Mathlib.LinearAlgebra.Matrix.Block
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
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- LinearOrderstatement and proof · cited by 8,572
- Fintypestatement and proof · cited by 7,736
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- Finset.mem_univproof · cited by 361
- LE.le.eq_or_ltproof · cited by 220
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