Theorems · Theorem · linear algebra
Matrix.vec_eq_zero_iff
∀ {m : Type u_2} {n : Type u_3} {R : Type u_1} [inst : Zero R] {A : Matrix m n R}, A.vec = 0 ↔ A = 0- Defined in
- Mathlib.LinearAlgebra.Matrix.Vec
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
- Assumes
- Zero
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.vecstatement · cited by 27
- Matrix.vec_injproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.trace_conjTranspose_mul_self_eq_zero_iffproof · cited by 1