Theorems · Theorem · general topology

extremallyDisconnected_of_homeo

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [ExtremallyDisconnected X]
  (e : X ≃ₜ Y), ExtremallyDisconnected Y

Defined in

Mathlib.Topology.ExtremallyDisconnected

Cited by

1 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceExtremallyDisconnected