Theorems · Theorem · commutative algebra
IsRelPrime.add_mul_left_left_iff
∀ {R : Type u_1} [inst : CommRing R] {x y z : R}, IsRelPrime (x + y * z) y ↔ IsRelPrime x y- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 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
- IsRelPrimestatement and proof · cited by 136
- IsRelPrime.of_add_mul_left_leftproof · cited by 5
- IsRelPrime.add_mul_left_leftproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- IsRelPrime.sub_mul_left_left_iffproof · cited by 0
- IsRelPrime.mul_sub_left_left_iffproof · cited by 0