Theorems · Theorem · general topology

isClosed_eq

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [T2Space X] {f g : Y → X},
  Continuous f → Continuous g → IsClosed {y | f y = g y}

Defined in

Mathlib.Topology.Separation.Hausdorff

Cited by

71 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceT2Space