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Strict monoidal structure is incoherent #1194

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anshwad10 opened this issue Feb 22, 2025 · 1 comment
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Strict monoidal structure is incoherent #1194

anshwad10 opened this issue Feb 22, 2025 · 1 comment

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@anshwad10
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https://github.com/agda/cubical/blob/e8ff0c1e18fd200d0c6a2d70f07811134df7d3cf/Cubical/Categories/Monoidal/Base.agda#L33C26-L43C32
At the definition of strict monoidal categories, there is no h-level requirement or coherence conditions on the associativity and identity paths. This leads to surprising results; For example, you would expect that any strict monoidal category automatically gives rise to a weak monoidal category, but that's not the case with the current definition.

anshwad10 added a commit to anshwad10/cubical that referenced this issue Feb 22, 2025
@anshwad10
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looks like this is a duplicate of #753

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