Theorems · Theorem · linear algebra
Matrix.ext_row
∀ {m : Type u_2} {n : Type u_3} {α : Type v} {A B : Matrix m n α}, (∀ (i : m), A.row i = B.row i) → A = BTwo matrices agree if their rows agree.
- Defined in
- Mathlib.LinearAlgebra.Matrix.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, 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.
- Matrixstatement and proof · cited by 4,303
- Matrix.extproof · cited by 540
- Matrix.rowstatement and proof · cited by 40
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.mul_left_injective_iff_vecMul_injectiveproof · cited by 1
- Matrix.ext_row_iffproof · cited by 0