Theorems · Theorem · commutative algebra
EuclideanDomain.xgcdAux_fst
∀ {R : Type u} [inst : EuclideanDomain R] [inst_1 : DecidableEq R] (x y s t s' t' : R),
(EuclideanDomain.xgcdAux x s t y s' t').1 = EuclideanDomain.gcd x y- Defined in
- Mathlib.Algebra.EuclideanDomain.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 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.
Cites8
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.gcd_zero_leftproof · cited by 7
- EuclideanDomain.gcd_valproof · cited by 5
- EuclideanDomain.GCD.inductionproof · cited by 5
- EuclideanDomain.xgcd_zero_leftproof · cited by 4
- EuclideanDomain.xgcdAux_recproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- EuclideanDomain.xgcdAux_valproof · cited by 1