[ { "label": "Definition 1.6.3", "concept": "prime number", "mathlib_ref": "Nat.Prime", "lean_code": null, "notes": "The definition in the book is consistent with Mathlib's definition of a prime number." }, { "label": "Definition 1.6.8", "concept": "greatest common divisor (gcd) of two integers", "mathlib_ref": "Nat.gcd", "lean_code": null, "notes": "The definition in the book is consistent with Mathlib's definition of gcd for natural numbers, and can be extended to integers using `Int.gcd`." }, { "label": "Definition 1.6.14", "concept": "relatively prime integers", "mathlib_ref": "Int.Coprime", "lean_code": null, "notes": "The definition in the book is consistent with Mathlib's definition of coprime integers." }, { "label": "Definition 1.6.22", "concept": "greatest common divisor (gcd) of several integers", "mathlib_ref": "GCD.gcd", "lean_code": null, "notes": "The definition in the book is consistent with Mathlib's generalization of gcd to multiple integers." }, { "label": "Definition 1.6.25", "concept": "pairwise relatively prime integers", "mathlib_ref": "Int.PairwiseCoprime", "lean_code": null, "notes": "The definition in the book is consistent with Mathlib's definition of pairwise coprime integers." } ]