Theorems · Theorem · commutative algebra
IsCoprime.neg_left
∀ {R : Type u} [inst : CommRing R] {x y : R}, IsCoprime x y → IsCoprime (-x) y- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- IsCoprimestatement and proof · cited by 321
- neg_mul_negproof · cited by 32
Cited by3
Results whose statement or proof uses this declaration.
- IsCoprime.neg_left_iffproof · cited by 5
- IsCoprime.neg_rightproof · cited by 3
- IsCoprime.neg_negproof · cited by 0