Theorems · Theorem · general topology

asymptoticCone_empty

∀ {k : Type u_1} {V : Type u_2} {P : Type u_3} [inst : Field k] [inst_1 : LinearOrder k] [inst_2 : AddCommGroup V]
  [inst_3 : Module k V] [inst_4 : AddTorsor V P] [inst_5 : TopologicalSpace V], asymptoticCone k ∅ = ∅

Defined in

Mathlib.Topology.Algebra.AsymptoticCone

Cited by

4 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderAddCommGroupModuleAddTorsorTopologicalSpace