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Strengthen the weakening equational theory.#77

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kyoDralliam merged 2 commits intoCoqHott:rocq-9.0from
ppedrot:weakening-irrelevant-wf
Nov 3, 2025
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Strengthen the weakening equational theory.#77
kyoDralliam merged 2 commits intoCoqHott:rocq-9.0from
ppedrot:weakening-irrelevant-wf

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@ppedrot ppedrot commented Oct 31, 2025

We show that the well-formation predicate is actually propositionally irrelevant and that we only care about the first component. We then rely on that to show that the derived equations are propositional and not just setoidal.

@ppedrot ppedrot changed the base branch from coq-8.20 to rocq-9.0 October 31, 2025 12:38
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From what I see, strengthening the pointwise equality to a propositional one has no downstream impact (maybe efficiency ?), but it seems good to record that's possible to do.

@kyoDralliam kyoDralliam merged commit a75dab2 into CoqHott:rocq-9.0 Nov 3, 2025
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@ppedrot ppedrot deleted the weakening-irrelevant-wf branch November 3, 2025 14:42
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2 participants