Theorems · Theorem · number theory
Pell.isPell_nat
∀ {a : ℕ} (a1 : 1 < a) {x y : ℕ}, Pell.IsPell { re := ↑x, im := ↑y } ↔ x * x - Pell.d✝ a1 * y * y = 1- Defined in
- Mathlib.NumberTheory.PellMatiyasevic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext
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.
- le_of_ltproof · cited by 1,175
- Nat.cast_injproof · cited by 70
- Pell.IsPellstatement and proof · cited by 9
- Int.le_of_ofNat_le_ofNatproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Pell.eq_pellproof · cited by 2