Theorems · Theorem · general topology

AffineSubspace.isClosed_direction_iff

∀ {R : Type u_1} {V : Type u_2} {P : Type u_3} [inst : Ring R] [inst_1 : AddCommGroup V] [inst_2 : Module R V]
  [inst_3 : TopologicalSpace P] [inst_4 : AddTorsor V P] [inst_5 : TopologicalSpace V] [IsTopologicalAddTorsor P]
  [T1Space V] (s : AffineSubspace R P), IsClosed ↑s.direction ↔ IsClosed ↑s

Defined in

Mathlib.Topology.Algebra.AffineSubspace

Cited by

1 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleTopologicalSpaceAddTorsorTopologicalSpaceIsTopologicalAddTorsorT1Space