Theorems · Theorem · general topology

T2Quotient.compatible

∀ {X : Type u_3} {Y : Type u_4} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [T2Space Y] {f : X → Y},
  Continuous f → ∀ (a b : X), a ≈ b → f a = f b

Defined in

Mathlib.Topology.Separation.Hausdorff

Cited by

1 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceT2Space