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Theorems · Theorem · order theory

Set.Infinite.biUnion

∀ {α : Type u} {ι : Type u_1} {s : ι → Set α} {a : Set ι}, a.Infinite → Set.InjOn s a → (⋃ i ∈ a, s i).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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Set · cited by 53352SetSet.Elem · cited by 7166Set.ElemSet.iUnion · cited by 2483Set.iUnionSet.InjOn · cited by 543Set.InjOnInfinite · cited by 352InfiniteSet.Infinite · cited by 263Set.InfiniteSet.biUnion_eq_iUnion · cited by 41Set.biUnion_eq_iUnionSet.Infinite.to_subtype · cited by 19Infinite.to_subtypeSet.infinite_iUnion · cited by 3Set.infinite_iUnionInfinite.biUnionCITED BYCITES

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