Theorems · Theorem · general topology

Topology.IsOpenEmbedding.coheight_eq

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [QuasiSober Y]
  [inst_3 : T0Space Y] [QuasiSober X] [inst_5 : T0Space X] {x : X} (f : X → Y),
  Topology.IsOpenEmbedding f → Order.coheight (f x) = Order.coheight x

Defined in

Mathlib.Topology.KrullDimension

Cited by

1 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceQuasiSoberT0SpaceQuasiSoberT0Space