instCoeSpecialLinearGroupFinOfNatNatIntGeneralLinearGroupReal

English

If Γ ⊆ GL(n,R) is a subgroup with HasDetPlusMinusOne, then each g ∈ Γ has |det g| = 1.

Русский

Если Γ ⊆ GL(n,R) имеет HasDetPlusMinusOne, то для любого g ∈ Γ |det g| = 1.

LaTeX

$$$\forall g\in Γ, |\det(g)| = 1$$$

Lean4

/-- Coercion from subgroups of `SL(2, ℤ)` to subgroups of `GL(2, ℝ)` by mapping along the obvious
inclusion homomorphism. -/
instance : Coe (Subgroup SL(2, ℤ)) (Subgroup (GL (Fin 2) ℝ)) where coe := map (mapGL ℝ)

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