IsBezout.span_gcd

∀ {R : Type u} [inst : Ring R] (x y : R) [inst_1 : Submodule.IsPrincipal (Ideal.span {x, y})],
  Ideal.span {IsBezout.gcd x y} = Ideal.span {x, y}

Defined in: Mathlib.RingTheory.PrincipalIdealDomain
Cited by: 5 results in Mathlib
Foundations: Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Ring Submodule.IsPrincipal

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