chore(Analysis/SpecialFunctions/Pow/Real): deprecate six misnamed duplicate log/rpow lemmas

[attilavjda]

6 Pow/Real.lean lemmas duplicate with misleading names, replace by deprecated aliases

Some of these deprecated lemmas names, or their intended proofs seem mixed up too, which could be updated perhaps after the deprecation period?

Used Aristotle in making this PR. It found the duplicates, generated guidance, example code, and verifications.

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[github-actions]

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[github-actions]

PR summary 5d62747e76

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)

No declarations were harmed in the making of this PR! 🐙

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 5d62747).

• +0 new declarations
• −0 removed declarations

No declaration differences.

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No changes to strong technical debt.

No changes to weak technical debt.

Current commit 5d62747e76
Reference commit 38c06cd7f3

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).

[wwylele]

Instead of deprecating them, can we change them to the correct statement right away?

[attilavjda]

Instead of deprecating them, can we change them to the correct statement right away?

One reason I know of for waiting a deprecation cycle before repurposing these lemmas is that they might have callers outside Mathlib, and fixing them results in new lemmas, so if we fix them now those callers will use a different lemma than intended without their users knowing about the change.