Mathlib Map

Theorems · Definition · general topology

Topology.WithGeneratedByTopology.equivAsContinuousMapGeneratedBy

{ι : Type t} →
  (X : ι → Type u) →
    [inst : (i : ι) → TopologicalSpace (X i)] →
      (Y : Type v) →
        [inst_1 : TopologicalSpace Y] → Topology.ContinuousMapGeneratedBy X (Topology.WithGeneratedByTopology X Y) Y

The identity WithGeneratedByTopology.equiv : WithGeneratedByTopology X Y → Y as a X-continuous map.

Defined in
Mathlib.Topology.Convenient.ContinuousMapGeneratedBy
Cited by
1 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ContinuousGeneratedByCat.adjUnitIso · cited by 1ContinuousGeneratedByCat.…Topology.WithGeneratedByTopology.equivAsContinuousMapGeneratedBy_coe · cited by 0WithGeneratedByTopology.e…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceTopology.ContinuousMapGeneratedBy · cited by 28Topology.ContinuousMapGen…Topology.WithGeneratedByTopology · cited by 25Topology.WithGeneratedByT…Topology.WithGeneratedByTopology.equiv · cited by 24WithGeneratedByTopology.e…WithGeneratedByTopology.equiv…CITED BYCITES

Cites5

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Cited by2

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