[Merged by Bors] - feat: define topology on DomMulAct _

[urkud]

---

[github-actions]

PR summary 8d9d9ca65e

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Topology.Algebra.Constructions.DomMulAct	665

---

Declarations diff

+ Embedding.t25Space
+ Subtype.instT25Space
+ closedEmbedding_mk
+ closedEmbedding_mk_symm
+ coe_mkHomeomorph
+ coe_mkHomeomorph_symm
+ comap_mk.symm_nhds
+ comap_mk_nhds
+ continuous_mk
+ continuous_mk_symm
+ embedding_mk
+ embedding_mk_symm
+ inducing_mk
+ inducing_mk_symm
+ instCompletelyNormalSpace
+ instDiscreteTopology
+ instFirstCountableTopology
+ instNormalSpace
+ instR0Space
+ instR1Space
+ instRegularSpace
+ instSecondCountableTopology
+ instSeparableSpace
+ instT0Space
+ instT1Space
+ instT25Space
+ instT2Space
+ instT3Space
+ instT4Space
+ instT5Space
+ instTopologicalSpace
+ map_mk_nhds
+ map_mk_symm_nhds
+ mkHomeomorph
+ openEmbedding_mk
+ openEmbedding_mk_symm
+ quotientMap_mk
+ quotientMap_mk_symm
- instance [T25Space X] {p : X → Prop} : T25Space {x // p x}

You can run this locally as follows

## summary with just the declaration names:
./scripts/no_lost_declarations.sh short <optional_commit>

## more verbose report:
./scripts/no_lost_declarations.sh <optional_commit>

[eric-wieser]

Could you explain here that the topology on DomMulAct X is the same as the one on X?

[eric-wieser]

bors d+

Thanks!

[mathlib-bors]

✌️ urkud can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

[leanprover-community-mathlib4-bot]

As this PR is labelled auto-merge-after-CI, we are now sending it to bors:

bors merge

[mathlib-bors]

Pull request successfully merged into master.

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