Theorems · Theorem · general topology

Absorbs.iUnion

∀ {M : Type u_1} {α : Type u_2} [inst : Bornology M] [inst_1 : SMul M α] {s : Set α} {ι : Sort u_3} [Finite ι]
  {t : ι → Set α}, (∀ (i : ι), Absorbs M s (t i)) → Absorbs M s (⋃ i, t i)

Alias of the reverse direction of absorbs_iUnion.

Defined in: Mathlib.Topology.Bornology.Absorbs
Cited by: 0 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Bornology SMul Finite

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Setstatement and proof · cited by 53,352
Finitestatement and proof · cited by 3,029
Set.iUnionstatement · cited by 2,483
Bornologystatement and proof · cited by 188
Absorbsstatement · cited by 59
absorbs_iUnionproof · cited by 1

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