Theorems · Theorem · logic and foundations
ZFSet.coe_iUnion
∀ {α : Type u_1} [inst : Small.{u, u_1} α] (f : α → ZFSet.{u}), ↑(ZFSet.iUnion fun i => f i) = ⋃ i, ↑(f i)- Defined in
- Mathlib.SetTheory.ZFC.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Small
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Cites7
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
- Set.iUnionstatement · cited by 2,483
- Set.extproof · cited by 2,266
- Smallstatement and proof · cited by 369
- ZFSetstatement and proof · cited by 259
- ZFSet.iUnionstatement · cited by 10
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