Theorems · Theorem · commutative algebra
not_isCoprime_zero_zero
∀ {R : Type u} [inst : CommSemiring R] [Nontrivial R], ¬IsCoprime 0 0- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses no axioms
- Assumes
- CommSemiringNontrivial
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
- Nontrivialstatement and proof · cited by 2,416
- IsCoprimestatement · cited by 321
- not_isUnit_zeroproof · cited by 20
- isCoprime_zero_rightproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- IsCoprime.sq_add_sq_ne_zeroproof · cited by 2
- IsCoprime.ne_zeroproof · cited by 1
- IsCoprime.ne_zero_or_ne_zeroproof · cited by 1