Mathlib Map

Theorems · Definition · commutative algebra

EuclideanDomain.gcdB

{R : Type u} → [EuclideanDomain R] → [DecidableEq R] → R → R → R

The extended GCD b value in the equation gcd x y = x * a + y * b.

Defined in
Mathlib.Algebra.EuclideanDomain.Defs
Cited by
5 results in Mathlib
Foundations
Depth 16 from the axioms · uses no axioms
Assumes
EuclideanDomainDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

EuclideanDomain.gcd_eq_gcd_ab · cited by 2EuclideanDomain.gcd_eq_gc…Polynomial.eval₂_gcd_eq_zero · cited by 2Polynomial.eval₂_gcd_eq_z…EuclideanDomain.lcm_dvd · cited by 1EuclideanDomain.lcm_dvdEuclideanDomain.xgcd_val · cited by 1EuclideanDomain.xgcd_valEuclideanDomain.gcdB_zero_left · cited by 0EuclideanDomain.gcdB_zero…EuclideanDomain · cited by 124EuclideanDomainEuclideanDomain.xgcd · cited by 2EuclideanDomain.xgcdEuclideanDomain.gcdBCITED BYCITES

Cites2

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

Cited by5

Results whose statement or proof uses this declaration.