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refactor(QED): remove erw from sum lemmas - #1504

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jstoobysmith merged 1 commit into
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catlover-bot:refactor/qed-remove-erw
Aug 11, 2026
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refactor(QED): remove erw from sum lemmas#1504
jstoobysmith merged 1 commit into
leanprover-community:masterfrom
catlover-bot:refactor/qed-remove-erw

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Summary

This PR removes the two remaining uses of erw from
Physlib/QFT/QED/AnomalyCancellation/Basic.lean.

The affected lemmas are:

  • PureU1.sum_of_charges
  • PureU1.sum_of_anomaly_free_linear

In both proofs, the previous erw relied on definitional equality while applying the induction hypothesis. The new proofs make that step explicit with change, instantiate the induction hypothesis directly, and use congrArg to add the final summand to both sides.

No lemma statements or mathematical content are changed.

Validation

  • lake build +Physlib.QFT.QED.AnomalyCancellation.Basic
  • full LEAN_NUM_THREADS=1 lake build (9269 jobs)
  • direct Lean check with linter.style.multiGoal and linter.style.longLine
  • git diff --check
  • ./scripts/lint-style.sh
  • confirmed no erw remains in the modified file
  • lake exe lint_all: build/import/sorry/Lean linters pass; repository-wide pre-existing style and transitive-import issues remain in unrelated files

Contributes to #385.

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@github-actions github-actions Bot added the t-qft label Aug 11, 2026
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catlover-bot marked this pull request as ready for review August 11, 2026 09:48

@jstoobysmith jstoobysmith left a comment

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Looks good - many thanks. Approved

@jstoobysmith jstoobysmith added the ready-to-merge This PR is approved and will be merged shortly label Aug 11, 2026
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Thanks for the review!

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jstoobysmith merged commit 9b8885e into leanprover-community:master Aug 11, 2026
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