Theorems · Theorem · ring theory
NonUnitalSubring.closure_iUnion
∀ {R : Type u} [inst : NonUnitalNonAssocRing R] {ι : Sort u_1} (s : ι → Set R),
NonUnitalSubring.closure (⋃ i, s i) = ⨆ i, NonUnitalSubring.closure (s i)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.iUnionstatement · cited by 2,483
- iSupstatement · cited by 2,415
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubringstatement · cited by 185
- GaloisInsertion.gcproof · cited by 137
- GaloisConnection.l_iSupproof · cited by 78
- NonUnitalSubring.closurestatement · cited by 23
- NonUnitalSubring.giproof · cited by 6
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