Theorems · Theorem · linear algebra
Matrix.IsSymm.adjugate
∀ {n : Type v} {α : Type w} [inst : DecidableEq n] [inst_1 : Fintype n] [inst_2 : CommRing α] {A : Matrix n n α},
A.IsSymm → A.adjugate.IsSymm- Defined in
- Mathlib.LinearAlgebra.Matrix.Adjugate
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintypeCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Matrix.IsSymmstatement and proof · cited by 70
- Matrix.adjugatestatement and proof · cited by 64
- Matrix.adjugate_transposeproof · cited by 5
- Matrix.IsSymm.eqproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.IsSymm.invproof · cited by 0