Mathlib Map

Theorems · Definition · group theory

Matrix.GeneralLinearGroup

(n : Type u) → (R : Type v) → [DecidableEq n] → [Fintype n] → [Semiring R] → Type (max v u)

GL n R is the group of n by n R-matrices with unit determinant. Defined as a subtype of matrices

Defined in
Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs
Cited by
556 results in Mathlib
Foundations
Depth 82 from the axioms, rests on 1,888 definitions · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqFintypeSemiring

Around this declaration

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

Cites4

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

  • Semiringstatement and proof · cited by 13,802
  • Fintypestatement and proof · cited by 7,736
  • Matrixproof · cited by 4,303
  • Unitsproof · cited by 2,804

Cited by699

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 699.