Theorems · Definition · number theory
Nat.gcdB
ℕ → ℕ → ℤ
The extended GCD b value in the equation gcd x y = x * a + y * b.
- Defined in
- Mathlib.Data.Int.GCD
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.xgcdproof · cited by 3
Cited by24
Results whose statement or proof uses this declaration.
- Nat.gcd_eq_gcd_abstatement · cited by 13
- IsPrimitiveRoot.pow_of_coprimeproof · cited by 8
- powCoprimeproof · cited by 7
- Int.gcdBproof · cited by 7
- Int.gcd_eq_gcd_abproof · cited by 6
- nsmulCoprimeproof · cited by 5
- gcd_nsmul_eq_zeroproof · cited by 3
- ZMod.mul_inv_eq_gcdproof · cited by 3
- Nat.xgcd_valstatement · cited by 2
- IsUnit.natCast_of_isNilpotent_of_coprimeproof · cited by 1
- Nat.exists_mul_mod_eq_gcdproof · cited by 1
- ZMod.eq_unit_mul_divisorproof · cited by 1