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tensor product distributes over direct sum #2079

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Alizter
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@Alizter Alizter commented Sep 7, 2024

We show that tensor products distribute over sums.

<!-- ps-id: eb39fcb0-37ae-4e35-a619-c99f476f071a -->

Signed-off-by: Ali Caglayan <[email protected]>
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LGTM after the minor cleanups I just indicated.

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Alizter commented Sep 10, 2024

FTR we will eventually prove a more general version of this lemma for indexed products/biproducts but this will probably end up requiring funext if we go through the adjunction route. So its good to have this simple case explicitly written out.

@Alizter Alizter merged commit de53d1f into HoTT:master Sep 10, 2024
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@Alizter Alizter deleted the ps/rr/tensor_product_distributes_over_direct_sum branch September 10, 2024 19:10
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