Theorems · Definition · general topology

Topology.ContinuousMapGeneratedBy.comp

{ι : Type t} →
  {X : ι → Type u} →
    [inst : (i : ι) → TopologicalSpace (X i)] →
      {Y : Type v} →
        [inst_1 : TopologicalSpace Y] →
          {Z : Type u_1} →
            [inst_2 : TopologicalSpace Z] →
              {T : Type u_2} →
                [inst_3 : TopologicalSpace T] →
                  Topology.ContinuousMapGeneratedBy X Y Z →
                    Topology.ContinuousMapGeneratedBy X T Y → Topology.ContinuousMapGeneratedBy X T Z

The composition of X-continuous maps.

Defined in

Mathlib.Topology.Convenient.ContinuousMapGeneratedBy

Cited by

2 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpace