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feat(ForMathlib): the mixedSpace lift is Lipschitz (8/10) - #26

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feat(ForMathlib): the mixedSpace lift is Lipschitz (8/10)#26
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@CBirkbeck CBirkbeck commented Jun 18, 2026

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Part 8 of 10 of the normLeOne frontier Lipschitz cover (split from PR #9). Stacked on part 7 — review the parents first; GitHub retargets the base toward master as they merge.

lipschitzWith_liftToMixed — a Lipschitz, uniformly bounded cover map lifts to a globally Lipschitz map (real coords isometric, complex coords bounded via the phase/modulus product estimate).

Builds green on the v4.31.0-rc1 / mathlib-master pin.

🤖 Generated with Claude Code


Stacked on 7/10. Adds:

* `lipschitzWith_liftToMixed` — if the cover map is Lipschitz and uniformly bounded
  on the cube image, its lift is globally Lipschitz (real coordinates isometric, complex
  coordinates bounded via the phase/modulus product estimate).

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
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