[Merged by Bors] - feat: sections of a fiber bundle with Subsingleton fiber are smooth and differentiable

[grunweg]

This will be used to prove that the Levi-Civita connection is smooth.
From the path towards the Levi-Civita connection and Riemannian geometry.

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[github-actions]

PR summary 2e294293b5

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff (regex)

+ contMDiffAt_section_of_subsingleton
+ contMDiffOn_section_of_subsingleton
+ contMDiffWithinAt_section_of_subsingleton
+ contMDiff_section_of_subsingleton
+ mdifferentiableAt_section_of_subsingleton
+ mdifferentiableOn_section_of_subsingleton
+ mdifferentiableWithinAt_section_of_subsingleton
+ mdifferentiable_section_of_subsingleton

You can run this locally as follows

## from your `mathlib4` directory:
git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci

## summary with just the declaration names:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh <optional_commit>

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

The doc-module for scripts/pr_summary/declarations_diff.sh in the mathlib-ci repository contains some details about this script.

Declarations diff (Lean)

✅ Lean-aware diff — post-build, computed from the Lean environment (commit 2e29429).

• +8 new declarations
• −0 removed declarations

+Bundle.contMDiffAt_section_of_subsingleton
+Bundle.contMDiffOn_section_of_subsingleton
+Bundle.contMDiffWithinAt_section_of_subsingleton
+Bundle.contMDiff_section_of_subsingleton
+Bundle.mdifferentiableAt_section_of_subsingleton
+Bundle.mdifferentiableOn_section_of_subsingleton
+Bundle.mdifferentiableWithinAt_section_of_subsingleton
+Bundle.mdifferentiable_section_of_subsingleton

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No changes to strong technical debt.

No changes to weak technical debt.

Current commit 2e294293b5
Reference commit f8fd74f95c

This script lives in the mathlib-ci repository. To run it locally, from your mathlib4 directory:

git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci
../mathlib-ci/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).

[sgouezel]

bors r+

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

• ci (staging) / Build
• ci (staging) / Test and lint
• ci (staging) / Lint style
• ci (staging) / Post-Build Step
• ci (staging) / Post-CI job