Theorems · Theorem · general topology

Absorbs.sUnion

∀ {M : Type u_1} {α : Type u_2} [inst : Bornology M] [inst_1 : SMul M α] {s : Set α} {T : Set (Set α)},
  T.Finite → (∀ t ∈ T, Absorbs M s t) → Absorbs M s (⋃₀ T)

Defined in: Mathlib.Topology.Bornology.Absorbs
Cited by: 0 results in Mathlib
Foundations: Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Bornology SMul

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Setstatement and proof · cited by 53,352
Set.Finitestatement and proof · cited by 1,814
Set.sUnionstatement · cited by 392
Bornologystatement and proof · cited by 188
Absorbsstatement and proof · cited by 59
Set.Finite.absorbs_sUnionproof · cited by 2

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