Theorems · Theorem · commutative algebra
isCoprime_one_left
∀ {R : Type u} [inst : CommSemiring R] {x : R}, IsCoprime 1 x- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 13 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
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- MulZeroClass.zero_mulproof · cited by 1,625
- IsCoprimestatement · cited by 321
Cited by8
Results whose statement or proof uses this declaration.
- IsCoprime.prod_leftproof · cited by 3
- IsCoprime.add_one_left_of_dvdproof · cited by 2
- IsCoprime.prod_left_iffproof · cited by 2
- Polynomial.UniversalCoprimeFactorizationRing.isCoprime_factor₁_factor₂proof · cited by 1
- ModularGroup.exists_max_improof · cited by 1
- Polynomial.cyclotomic.isCoprime_ratproof · cited by 1
- Polynomial.separable_oneproof · cited by 1
- Nat.isCoprime_iffproof · cited by 0