Theorems · Theorem · commutative algebra
IsCoprime.of_add_mul_left_right
∀ {R : Type u} [inst : CommSemiring R] {x y z : R}, IsCoprime x (y + x * z) → IsCoprime x y- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- CommSemiring
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.
- CommSemiringstatement and proof · cited by 10,911
- IsCoprimestatement and proof · cited by 321
- isCoprime_commproof · cited by 17
- IsCoprime.of_add_mul_left_leftproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.Separable.of_mul_leftproof · cited by 4
- IsCoprime.of_add_mul_right_rightproof · cited by 3
- Polynomial.Separable.isCoprimeproof · cited by 1
- IsCoprime.add_mul_left_right_iffproof · cited by 1
- IsCoprime.of_mul_add_left_rightproof · cited by 1