Theorems · Theorem · linear algebra
Matrix.IsSymm.ext_iff
∀ {α : Type u_1} {n : Type u_3} {A : Matrix n n α}, A.IsSymm ↔ ∀ (i j : n), A j i = A i jA version of Matrix.ext_iff that unfolds the Matrix.transpose.
- Defined in
- Mathlib.LinearAlgebra.Matrix.Symmetric
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 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.IsSymmstatement · cited by 70
- Matrix.ext_iffproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.IsSymm.applyproof · cited by 4