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chore: faster eqn. reasoning in Displayed#590

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plt-amy wants to merge 3 commits intomainfrom
aliao/total-eqn-reasoning
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chore: faster eqn. reasoning in Displayed#590
plt-amy wants to merge 3 commits intomainfrom
aliao/total-eqn-reasoning

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@plt-amy plt-amy commented Jan 28, 2026

Fixes #463 in a more direct way than #505, with a bespoke set of operators for equational reasoning in PathP (λ i → Hom[ p i ] ...) ... that take the "continuation" in the form of a path in Σ _ λ m → Hom[ m ] x y. This does mean that we still need all the [] versions of the category combinators, but it's an improvement, at least, and does not complicate the dependency graph.

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plt-amy commented Jan 28, 2026

attn @jajaperson

Co-authored-by: Naïm Camille Favier <n@monade.li>
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Looks great! Thanks for doing this

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Equational reasoning in a displayed category is extremely slow

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