Theorems · Theorem · linear algebra
Matrix.charmatrix_blockTriangular_iff
∀ {R : Type u_1} [inst : CommRing R] {n : Type u_4} [inst_1 : DecidableEq n] [inst_2 : Fintype n] {α : Type u_5}
[inst_3 : Preorder α] {M : Matrix n n R} {b : n → α}, M.charmatrix.BlockTriangular b ↔ M.BlockTriangular b- Cited by
- 2 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Preorderstatement and proof · cited by 7,952
- Fintypestatement and proof · cited by 7,736
- Polynomialstatement and proof · cited by 5,681
- Matrixstatement and proof · cited by 4,303
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Matrix.diagonalproof · cited by 314
- RingHom.mapMatrix_applyproof · cited by 73
- RingHom.mapMatrixproof · cited by 55
- Matrix.BlockTriangularstatement and proof · cited by 45
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.BlockTriangular.charmatrixproof · cited by 2
- Matrix.BlockTriangular.of_charmatrixproof · cited by 0