Theorems · Theorem
Matrix.submatrix_empty
∀ {α : Type u} {m' : Type uₘ} {n' : Type uₙ} {o' : Type uₒ} (A : Matrix m' n' α) (row : Fin 0 → m') (col : o' → n'),
A.submatrix row col = Matrix.of ![]- Defined in
- Mathlib.LinearAlgebra.Matrix.Notation
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- Matrixstatement and proof · cited by 4,303
- Matrix.vecEmptystatement · cited by 832
- Matrix.ofstatement · cited by 336
- Matrix.submatrixstatement and proof · cited by 183
- Matrix.empty_eqproof · cited by 20
Cited by4
Results whose statement or proof uses this declaration.
- Matrix.Nonsingular.of_linearIndependent_colproof · cited by 3
- Matrix.emptyRows_isTotallyUnimodularproof · cited by 1
- Matrix.IsTotallyUnimodular.fromRows_unitlikeproof · cited by 1
- Polynomial.discr_Cproof · cited by 0