Theorems · Theorem · commutative algebra
IsCoprime.add_mul_left_right_iff
∀ {R : Type u} [inst : CommRing R] {x y z : R}, IsCoprime x (y + x * z) ↔ IsCoprime x y- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- IsCoprime.of_add_mul_left_rightproof · cited by 5
- IsCoprime.add_mul_left_rightproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- IsCoprime.sub_mul_left_right_iffproof · cited by 0