Mathlib Map

Theorems · Theorem · group theory

Matrix.isUnit_det_J

∀ (l : Type u_1) (R : Type u_2) [inst : DecidableEq l] [inst_1 : CommRing R] [inst_2 : Fintype l],
  IsUnit (Matrix.J l R).det
Defined in
Mathlib.LinearAlgebra.SymplecticGroup
Cited by
1 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqCommRingFintype
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SymplecticGroup.symplectic_det · cited by 1SymplecticGroup.symplecti…CommRing · cited by 17173CommRingFintype · cited by 7736FintypeIsUnit · cited by 1602IsUnitMatrix.det · cited by 665Matrix.detisUnit_iff_exists_inv · cited by 21isUnit_iff_exists_invMatrix.J · cited by 20Matrix.JMatrix.J_det_mul_J_det · cited by 1Matrix.J_det_mul_J_detMatrix.isUnit_det_JCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.