Theorems · Theorem · commutative algebra
isCoprime_zero_right
∀ {R : Type u} [inst : CommSemiring R] {x : R}, IsCoprime x 0 ↔ IsUnit x- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses no axioms
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- IsUnitstatement · cited by 1,602
- IsCoprimestatement · cited by 321
- isCoprime_commproof · cited by 17
- isCoprime_zero_leftproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- not_isCoprime_zero_zeroproof · cited by 3
- Polynomial.separable_iff_derivative_ne_zeroproof · cited by 2
- Polynomial.isUnit_or_eq_zero_of_separable_expandproof · cited by 2
- Polynomial.separable_Cproof · cited by 1