Theorems · Definition · linear algebra
Matrix.fromCols
{R : Type u_1} →
{m : Type u_2} → {n₁ : Type u_6} → {n₂ : Type u_7} → Matrix m n₁ R → Matrix m n₂ R → Matrix m (n₁ ⊕ n₂) RConcatenate together two matrices B₁[m × n₁] and B₂[m × n₂] with the same rows (M) to get a bigger matrix indexed by [m × (n₁ ⊕ n₂)]
- Defined in
- Mathlib.Data.Matrix.ColumnRowPartitioned
- Cited by
- 30 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Matrixstatement and proof · cited by 4,303
- Matrix.ofproof · cited by 336
Cited by30
Results whose statement or proof uses this declaration.
- Matrix.transpose_fromColsstatement · cited by 3
- Matrix.one_fromCols_isTotallyUnimodular_iffstatement and proof · cited by 1
- Matrix.fromCols_injstatement · cited by 1
- Matrix.fromCols_mul_fromRows_eq_one_commstatement · cited by 1
- Matrix.fromCols_one_isTotallyUnimodular_iffstatement and proof · cited by 1
- Matrix.mul_fromColsstatement · cited by 1
- Matrix.vecMul_fromColsstatement and proof · cited by 0
- Matrix.fromCols_apply_inlstatement · cited by 0
- Matrix.fromCols_apply_inrstatement · cited by 0
- Matrix.fromCols_ext_iffstatement · cited by 0
- Matrix.fromCols_fromRows_eq_fromBlocksstatement · cited by 0
- Matrix.fromCols_mapstatement and proof · cited by 0