Theorems · Theorem · general topology

orderTopology_of_nhds_mabs

∀ {α : Type u_4} [inst : TopologicalSpace α] [inst_1 : CommGroup α] [inst_2 : LinearOrder α] [IsOrderedMonoid α],
  (∀ (a : α), nhds a = ⨅ r, ⨅ (_ : r > 1), Filter.principal {b | |a / b|ₘ < r}) → OrderTopology α

Defined in

Mathlib.Topology.Order.LeftRightNhds

Cited by

0 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceCommGroupLinearOrderIsOrderedMonoid