Theorems · Theorem · commutative algebra
Ideal.subset_union
∀ {R : Type u} [inst : Ring R] {I J K : Ideal R}, ↑I ⊆ ↑J ∪ ↑K ↔ I ≤ J ∨ I ≤ K- Defined in
- Mathlib.RingTheory.Ideal.Operations
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Ringstatement and proof · cited by 7,463
- Idealstatement and proof · cited by 4,748
- AddSubgroupClass.subset_unionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.subset_union_prime'proof · cited by 1