Mathlib Map

Theorems · Definition · general topology

Topology.ContinuousMapGeneratedBy.toFun

{ι : Type t} →
  {X : ι → Type u} →
    [inst : (i : ι) → TopologicalSpace (X i)] →
      {Y : Type v} →
        [inst_1 : TopologicalSpace Y] →
          {Z : Type v'} → [inst_2 : TopologicalSpace Z] → Topology.ContinuousMapGeneratedBy X Y Z → Y → Z

the underlying map of a X-continuous map

Defined in
Mathlib.Topology.Convenient.ContinuousMapGeneratedBy
Cited by
4 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
TopologicalSpaceTopologicalSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Topology.ContinuousMapGeneratedBy.precomp · cited by 4ContinuousMapGeneratedBy.…Topology.ContinuousMapGeneratedBy.comp · cited by 2ContinuousMapGeneratedBy.…Topology.ContinuousMapGeneratedBy.ext · cited by 1ContinuousMapGeneratedBy.…Topology.ContinuousMapGeneratedBy.ext_iff · cited by 0ContinuousMapGeneratedBy.…Topology.ContinuousMapGeneratedBy.prop · cited by 0ContinuousMapGeneratedBy.…Topology.ContinuousMapGeneratedBy.comp_apply · cited by 0ContinuousMapGeneratedBy.…TopologicalSpace · cited by 24529TopologicalSpaceTopology.ContinuousMapGeneratedBy · cited by 28Topology.ContinuousMapGen…ContinuousMapGeneratedBy.toFunCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.