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feat(Topology): a coinducing map with connected fibers induces a homeomorphism on connected components#37515

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feat(Topology): a coinducing map with connected fibers induces a homeomorphism on connected components#37515
chrisflav wants to merge 5 commits intoleanprover-community:masterfrom
chrisflav:homeo-pi0-coinducing

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@chrisflav chrisflav added the t-topology Topological spaces, uniform spaces, metric spaces, filters label Apr 1, 2026
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github-actions bot commented Apr 1, 2026

PR summary 3bd2603b81

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ Continuous.connectedComponentsMap_mk
+ Continuous.connectedComponentsMap_surjective
+ Topology.IsCoinducing.connectedComponentsEquiv
+ Topology.IsCoinducing.connectedComponentsEquiv_mk
+ Topology.IsCoinducing.connectedComponentsEquiv_symm_mk_apply
+ Topology.IsCoinducing.connectedComponentsMap
+ isOpenMap_of_injective

You can run this locally as follows
## summary with just the declaration names:
./scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.


No changes to technical debt.

You can run this locally as

./scripts/reporting/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

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@scholzhannah scholzhannah left a comment

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Thank you for your PR! I just have some minor style comments.

Continuous.connectedComponentsMap_surjective _ fun y ↦ (hf' y).nonempty⟩
obtain ⟨x, rfl⟩ := ConnectedComponents.surjective_coe x
obtain ⟨y, rfl⟩ := ConnectedComponents.surjective_coe y
simp at h
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This looks like a non-terminal simp to me. @adomani Do you have any idea why the flexible linter does not warn here?

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It is followed by a flexible tactic, is it not?

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(in any case, I accepted Hannah's suggestion, so this potential issue does not exist anymore)

Re flexible: I also think simp at h; simp [h] is much better than the similar (but not applicable here) simpa using h, which the flexible linter happily accepts.

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Thanks for the review @scholzhannah!

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4 participants