Theorems · Definition · linear algebra
Matrix.fromRows
{R : Type u_1} →
{m₁ : Type u_3} → {m₂ : Type u_4} → {n : Type u_5} → Matrix m₁ n R → Matrix m₂ n R → Matrix (m₁ ⊕ m₂) n RConcatenate together two matrices A₁[m₁ × N] and A₂[m₂ × N] with the same columns (N) to get a bigger matrix indexed by [(m₁ ⊕ m₂) × N]
- Defined in
- Mathlib.Data.Matrix.ColumnRowPartitioned
- Cited by
- 35 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 by35
Results whose statement or proof uses this declaration.
- Matrix.fromRows_one_isTotallyUnimodular_iffstatement · cited by 3
- Matrix.transpose_fromColsstatement · cited by 3
- Matrix.one_fromRows_isTotallyUnimodular_iffstatement and proof · cited by 2
- Matrix.fromRows_isTotallyUnimodular_iff_rowsstatement · cited by 2
- Matrix.one_fromCols_isTotallyUnimodular_iffproof · cited by 1
- Matrix.fromCols_mul_fromRows_eq_one_commstatement · cited by 1
- Matrix.fromCols_one_isTotallyUnimodular_iffproof · cited by 1
- Matrix.fromRows_injstatement · cited by 1
- Matrix.fromRows_mulstatement · cited by 1
- Matrix.fromRows_replicateRow0_isTotallyUnimodular_iffstatement · cited by 1
- Matrix.IsTotallyUnimodular.fromRows_unitlikestatement and proof · cited by 1
- Matrix.toRows₁_fromRowsstatement · cited by 0