Theorems · Theorem · general topology

asymptoticCone_closure

∀ {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] [inst_6 : TopologicalSpace k]
  [OrderTopology k] [IsStrictOrderedRing k] [IsTopologicalAddGroup V] [ContinuousSMul k V]
  [inst_11 : TopologicalSpace P] [IsTopologicalAddTorsor P] (s : Set P),
  asymptoticCone k (closure s) = asymptoticCone k s

Defined in

Mathlib.Topology.Algebra.AsymptoticCone

Cited by

1 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderAddCommGroupModuleAddTorsorTopologicalSpaceTopologicalSpaceOrderTopologyIsStrictOrderedRingIsTopologicalAddGroupContinuousSMulTopologicalSpaceIsTopologicalAddTorsor