Theorems · Theorem · general topology

Set.Finite.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 → (Absorbs M s (⋃₀ T) ↔ ∀ t ∈ T, Absorbs M s t)

Defined in

Mathlib.Topology.Bornology.Absorbs

Cited by

2 results in Mathlib

Foundations

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

Assumes

BornologySMul