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chore(Analysis/RCLike/Basic): state norm_I with positive polarity#41585

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chore(Analysis/RCLike/Basic): state norm_I with positive polarity#41585
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@kim-em kim-em commented Jul 10, 2026

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This PR restates RCLike.norm_I with the if condition in positive polarity, changing the RHS from if (I : K) ≠ 0 then 1 else 0 to if (I : K) = 0 then 0 else 1. The latter is the simp-normal form (ne_eq and ite_not rewrite the former to it) and matches every comparable if _ = 0 then 0 else 1 statement in Mathlib; the negated form was the only one of its kind. The proof is unchanged and there are no downstream uses of the lemma yet.

Follow-up to #41359 (feat(Analysis/RCLike/Basic): add norm_I).

🤖 Prepared with Claude Code

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
@github-actions github-actions Bot added the t-analysis Analysis (normed *, calculus) label Jul 10, 2026
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PR summary 560ce3d069

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

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 560ce3d).

  • +0 new declarations
  • −0 removed declarations

No declaration differences.


No changes to strong technical debt.

No changes to weak technical debt.

Current commit 560ce3d069
Reference commit a33a5ccd63

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).

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