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OCME · Bilingual mathematics & derivations

Entry Path to Formalized Mathematics

Move from set and function semantics into precise Lean and Mathlib statements and content-addressed evidence objects.

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This is a suggested learning sequence, not a universal logical dependency or a formal proof.

1. Stage 1 · required

   Set membership

   Align membership with the formal semantics of Set as a predicate.

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2. Stage 2 · required

   Function mapping

   Align total-function types with the existence of a unique output.

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3. Stage 3 · required

   Tends-to relation

   Understand the formal filter core of Filter.Tendsto.

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4. Stage 4 · optional

   Pythagorean theorem

   Inspect the formal bridge from encyclopedia semantics to vector and side-length models.

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