Theorems · Theorem · group theory
Matrix.J_inv
∀ (l : Type u_1) (R : Type u_2) [inst : DecidableEq l] [inst_1 : CommRing R] [inst_2 : Fintype l], (Matrix.J l R)⁻¹ = -Matrix.J l R
- Defined in
- Mathlib.LinearAlgebra.SymplecticGroup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqCommRingFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- neg_negproof · cited by 960
- Matrix.Jstatement and proof · cited by 20
- Matrix.mul_negproof · cited by 5
- Matrix.inv_eq_right_invproof · cited by 4
- Matrix.J_squaredproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- SymplecticGroup.transpose_memproof · cited by 2