Mathlib Map

Theorems · Theorem · number theory

ModularGroup.bottom_row_surj

∀ {R : Type u_1} [inst : CommRing R], Set.SurjOn (fun g => ↑g 1) Set.univ {cd | IsCoprime (cd 0) (cd 1)}

Every pair ![c, d] of coprime integers is the "bottom row" of some element g=[[*,*],[c,d]] of SL(2,ℤ).

Defined in
Mathlib.NumberTheory.Modular
Cited by
2 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing

Around this declaration

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

Cites18

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

Cited by2

Results whose statement or proof uses this declaration.