Theorems · Theorem · general topology

Continuous.comp

∀ {X : Type u_1} {Y : Type u_2} {Z : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  [inst_2 : TopologicalSpace Z] {f : X → Y} {g : Y → Z}, Continuous g → Continuous f → Continuous (g ∘ f)

Defined in

Mathlib.Topology.Continuous

Cited by

371 results in Mathlib

Foundations

Depth 7 from the axioms, rests on 14 definitions · uses no axioms

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace