refactor(Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order): clean up hypotheses

[j-loreaux]

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[github-actions]

PR summary d1dde30f35

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)

+ inr_le_inr_iff
+ inr_lr_inr
+ inr_nonneg
+ le_of_inr
+ nonneg_of_inr

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 d1dde30).

• +5 new declarations
• −0 removed declarations

+Unitization.inr_le_inr_iff
+Unitization.inr_lr_inr
+Unitization.inr_nonneg
+Unitization.le_of_inr
+Unitization.nonneg_of_inr

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No changes to strong technical debt.

No changes to weak technical debt.

Current commit d1dde30f35
Reference commit 1c3257b287

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).

[themathqueen]

Suggested change

	lemma inr_lr_inr {a b : A} (hab : a ≤ b) (ha : IsSelfAdjoint a := by cfc_tac)
	lemma inr_le_inr {a b : A} (hab : a ≤ b) (ha : IsSelfAdjoint a := by cfc_tac)

[themathqueen]

should this be renamed to norm_le_norm_of_le_of_nonneg? and same thing below for the nnnorm version

[themathqueen]

isn't this exactly Unitization.LE.le.inr?
and the same below, isn't it just Unitization.LE.le.of_inr?

[themathqueen]

can you move this alias up next to the inr_nonneg_iff lemma?