Theorems · Theorem · commutative algebra
IsCoprime.add_eq
∀ {R : Type u} [inst : CommSemiring R] {I J : Ideal R}, IsCoprime I J → I + J = 1- Defined in
- Mathlib.RingTheory.Ideal.Operations
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- 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
- Idealstatement and proof · cited by 4,748
- IsCoprimestatement and proof · cited by 321
- Ideal.isCoprime_iff_addproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.