Theorems · Definition · linear algebra
Matrix.toSquareBlock
{m : Type u_2} →
{α : Type u_12} → {β : Type u_13} → Matrix m m α → (b : m → β) → (k : β) → Matrix { a // b a = k } { a // b a = k } αLet b map rows and columns of a square matrix M to blocks. Then
toSquareBlock M b k is the block k matrix.
- Defined in
- Mathlib.Data.Matrix.Block
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- Matrix.toSquareBlockPropproof · cited by 5
Cited by15
Results whose statement or proof uses this declaration.
- Matrix.det_of_isUpperTriangularproof · cited by 8
- Matrix.BlockTriangular.detstatement and proof · cited by 3
- Algebra.Norm.Transitivity.mul_auxMat_toSquareBlock_eqstatement and proof · cited by 2
- Matrix.BlockTriangular.det_fintypestatement · cited by 2
- Algebra.Norm.Transitivity.auxMat_toSquareBlock_eqstatement · cited by 2
- Algebra.Norm.Transitivity.auxMat_toSquareBlock_nestatement · cited by 2
- Algebra.Norm.Transitivity.comp_det_mul_powstatement and proof · cited by 1
- Algebra.Norm.Transitivity.det_det_auxproof · cited by 1
- Algebra.Norm.Transitivity.det_mul_corner_powstatement and proof · cited by 1
- Matrix.comp_toSquareBlockstatement · cited by 1
- Matrix.toSquareBlock_defstatement · cited by 1
- Matrix.map_toSquareBlockstatement · cited by 1