Theorems · Theorem · linear algebra
Matrix.single_apply_of_row_ne
∀ {m : Type u_2} {n : Type u_3} {α : Type u_7} [inst : DecidableEq m] [inst_1 : DecidableEq n] [inst_2 : Zero α]
{i i' : m}, i ≠ i' → ∀ (j j' : n) (a : α), Matrix.single i j a i' j' = 0- Defined in
- Mathlib.Data.Matrix.Basis
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEqDecidableEqZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrix.singlestatement · cited by 129
- Matrix.single_apply_of_neproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.comp_single_singleproof · cited by 1
- Matrix.submatrix_single_equivproof · cited by 0