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feat(opening): compose near-far fold semantics - #64

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windsornguyen wants to merge 1 commit into
codex/radius-one-projective-classificationfrom
codex/near-far-fold-semantics
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feat(opening): compose near-far fold semantics#64
windsornguyen wants to merge 1 commit into
codex/radius-one-projective-classificationfrom
codex/near-far-fold-semantics

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Explain what this changes, why it is needed, and anything reviewers should
verify. Link an issue when one exists.

What does this change?

Defines a semantic near/far fold interface and proves that exact near-case binding plus far-case rejection composes into a single exact opening step. The theorem deliberately makes no runtime, communication, or workspace claim.

How was it tested?

  • lake build --wfail passes on stacked tip 16b7318
  • lake lint passes on stacked tip 16b7318
  • No sorry or new axioms, or this PR does not change Lean proofs
  • git diff --check passes
  • Near/far composition compiles without additional axioms

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