feat(Algebra/IndZariski): fill basic instances and flatness#26
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chrisflav wants to merge 2 commits intochrisflav:masterfrom
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feat(Algebra/IndZariski): fill basic instances and flatness#26chrisflav wants to merge 2 commits intochrisflav:masterfrom
chrisflav wants to merge 2 commits intochrisflav:masterfrom
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Fill several sorries in Algebra/IndZariski.lean: - Add IsClosedUnderIsomorphisms and IsClosedUnderLimitsOfShape instances for CommAlgCat.isLocalIso. - Prove of_isLocalIso: every local isomorphism is ind-Zariski. - Prove prod: ind-Zariski is closed under products (via reduction to pi). - Prove Module.Flat.of_indZariski: every ind-Zariski algebra is flat. Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
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- Replace `fun ... =>` with `fun ... ↦` throughout - Replace `haveI` with `have` in tactic proof - Split semicolon-chained tactics onto separate lines - Replace `show ... from` pattern with explicit `have` - Remove redundant parentheses - Add docstring to `instance prod` Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
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Fill several sorries in
Algebra/IndZariski.lean:CommAlgCat.isLocalIsois closed under isomorphisms and finite discrete limits (IsClosedUnderIsomorphisms,IsClosedUnderLimitsOfShape).Algebra.IndZariski.of_isLocalIso: every local isomorphism is ind-Zariski.Algebra.IndZariski.prod: ind-Zariski is closed under binary products (by reducing to thepiinstance viaULift Bool).Module.Flat.of_indZariski: every ind-Zariski algebra is flat (viaisLocalIso_implies_flatusing Zariski descent for flatness).