Theorems · Theorem · linear algebra
Matrix.isSymm_comp_iff
∀ {α : Type u_1} {n : Type u_3} {m : Type u_4} {A : Matrix m m (Matrix n n α)},
((Matrix.comp m m n n α) A).IsSymm ↔ A.transpose = A.map fun x => x.transpose- Defined in
- Mathlib.LinearAlgebra.Matrix.Symmetric
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Matrixstatement and proof · cited by 4,303
- Equiv.injectiveproof · cited by 464
- Matrix.transposestatement and proof · cited by 389
- Matrix.mapstatement and proof · cited by 247
- Matrix.IsSymmstatement · cited by 70
- Matrix.compstatement and proof · cited by 38
- Function.Involutive.eq_iffproof · cited by 22
- Matrix.transpose_mapproof · cited by 8
- Matrix.transpose_involutiveproof · cited by 1
- Matrix.transpose_compproof · cited by 1
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