Theorems · Theorem · commutative algebra
EuclideanDomain.xgcdAux_val
∀ {R : Type u} [inst : EuclideanDomain R] [inst_1 : DecidableEq R] (x y : R),
EuclideanDomain.xgcdAux x 1 0 y 0 1 = (EuclideanDomain.gcd x y, EuclideanDomain.xgcd x y)- Defined in
- Mathlib.Algebra.EuclideanDomain.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EuclideanDomainDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- EuclideanDomainstatement and proof · cited by 124
- EuclideanDomain.gcdstatement and proof · cited by 39
- EuclideanDomain.xgcdAuxstatement and proof · cited by 7
- EuclideanDomain.xgcdstatement · cited by 2
- EuclideanDomain.xgcdAux_fstproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- EuclideanDomain.gcd_eq_gcd_abproof · cited by 2