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feat(confluence): add relation-level reduction inclusions#719

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JJYYY-JJY:feat/696-relation-inclusions
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feat(confluence): add relation-level reduction inclusions#719
JJYYY-JJY wants to merge 2 commits into
leanprover:mainfrom
JJYYY-JJY:feat/696-relation-inclusions

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@JJYYY-JJY JJYYY-JJY commented Jul 14, 2026

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Restates four reduction inclusions as namespaced relation inequalities. Pointwise use remains available through dot notation without duplicate wrapper theorems.

This intentionally removes the old pointwise theorem names; there were no in-repository callers.

Closes #696.

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Codex was used for part of the code, I have reviewed all the changes done by it.

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Comment thread Cslib/Languages/CombinatoryLogic/Confluence.lean
refine Iff.intro ?chain_redex ?redex_chain <;> intros h <;> induction h <;> try rfl
case redex_chain redex chain => exact ReflTransGen.tail chain (step_to_para redex)
case chain_redex para redex => exact ReflTransGen.trans redex (para_to_redex para)
theorem parachain_iff_redex : M ↠ₚ N ↔ M ↠βᶠ N :=

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Maybe for consistency this should now be stated as (· ↠ₚ ·) = (· ↠βᶠ ·) and given a better consistent name.

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restate parallelReduction_of_red and others using ?

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