Theorems · Theorem · commutative algebra
neg_gcd
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : HasDistribNeg α] [inst_2 : NormalizedGCDMonoid α] {a b : α},
gcd (-a) b = gcd a b- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement and proof · cited by 913
- NormalizedGCDMonoidstatement and proof · cited by 159
- GCDMonoid.gcdstatement · cited by 143
- HasDistribNegstatement and proof · cited by 114
- normalize_gcdproof · cited by 13
- Associated.eq_of_normalizedproof · cited by 5
- neg_gcd'proof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.