Theorems · Theorem · order theory
Set.Infinite.sUnion
∀ {α : Type u} {s : Set (Set α)}, s.Infinite → (⋃₀ s).Infinite- Defined in
- Mathlib.Data.Set.Finite.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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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.Elemproof · cited by 7,166
- Set.sUnionstatement · cited by 392
- Infiniteproof · cited by 352
- Set.Infinitestatement and proof · cited by 263
- Subtype.coe_injectiveproof · cited by 205
- Set.sUnion_eq_iUnionproof · cited by 26
- Set.Infinite.to_subtypeproof · cited by 19
- Set.infinite_iUnionproof · cited by 3
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