IsBezout.gcd_eq_sum

∀ {R : Type u} [inst : CommRing R] (x y : R) [inst_1 : Submodule.IsPrincipal (Ideal.span {x, y})],
  ∃ a b, a * x + b * y = IsBezout.gcd x y

Defined in: Mathlib.RingTheory.PrincipalIdealDomain
Cited by: 1 results in Mathlib
Foundations: Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing Submodule.IsPrincipal

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