Mathlib Map

Theorems · Definition · number theory

Dioph

{α : Type u} → Set (α → ℕ) → Prop

A set S ⊆ ℕ^α is Diophantine if there exists a polynomial on α ⊕ β such that v ∈ S iff there exists t : ℕ^β with p (v, t) = 0.

Defined in
Mathlib.NumberTheory.Dioph
Cited by
30 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms

Around this declaration

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

Cites3

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

  • DFunLike.coeproof · cited by 62,936
  • Setstatement and proof · cited by 53,352
  • Polyproof · cited by 31

Cited by32

Results whose statement or proof uses this declaration.