Theorems · Theorem · general topology

Set.Finite.absorbs_biUnion

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

Defined in

Mathlib.Topology.Bornology.Absorbs

Cited by

3 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

BornologySMul