Theorems · Theorem · commutative algebra
IsRelPrime.of_add_mul_left_right
∀ {R : Type u} [inst : CommSemiring R] {x y z : R}, IsRelPrime x (y + x * z) → IsRelPrime x y- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 13 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
- IsRelPrimestatement and proof · cited by 136
- isRelPrime_commproof · cited by 8
- IsRelPrime.of_add_mul_left_leftproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- IsRelPrime.of_add_mul_right_rightproof · cited by 2
- IsRelPrime.add_mul_left_right_iffproof · cited by 1
- IsRelPrime.of_mul_add_left_rightproof · cited by 1