Mathlib Map

Theorems · Definition · general topology

Topology.WithGeneratedByTopology.equivSymmAsContinuousMapGeneratedBy

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

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

Defined in
Mathlib.Topology.Convenient.ContinuousMapGeneratedBy
Cited by
1 results in Mathlib
Foundations
Depth 76 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.equivSymmAsContinuousMapGeneratedBy_coe · cited by 0WithGeneratedByTopology.e…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceEquiv.symm · cited by 3681Equiv.symmTopology.ContinuousMapGeneratedBy · cited by 28Topology.ContinuousMapGen…Topology.WithGeneratedByTopology · cited by 25Topology.WithGeneratedByT…Topology.WithGeneratedByTopology.equiv · cited by 24WithGeneratedByTopology.e…WithGeneratedByTopology.equiv…CITED BYCITES

Cites6

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

Cited by2

Results whose statement or proof uses this declaration.