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Functoriality of FreeGroup #2066

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merged 2 commits into from
Aug 29, 2024
Merged

Functoriality of FreeGroup #2066

merged 2 commits into from
Aug 29, 2024

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Alizter
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@Alizter Alizter commented Aug 29, 2024 •
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In this PR we show that FreeGroup is a functor. Together with #2064, this allows us to show that FreeAbGroup is a functor also.

Alizter added 2 commits August 29, 2024 15:28
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Functoriality of FreeGroup
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Signed-off-by: Ali Caglayan <[email protected]>
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Functoriality of FreeAbGroup
85eb9f0 
Signed-off-by: Ali Caglayan <[email protected]>

<!-- ps-id: e772e63a-dd2a-419d-8dae-9d2da7db3068 -->
jdchristensen
jdchristensen approved these changes Aug 29, 2024
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LGTM. (Makes me wonder if there is a way to state and prove a meta-theorem that says that if some construction has an induction principle, then it is a functor. We keep repeating this idiom. Or maybe a tactic that does it.)

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Alizter commented Aug 29, 2024

I also wondered something similar, but I couldn't come up with anything useful.

@Alizter Alizter merged commit 5d22aaf into HoTT:master Aug 29, 2024
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@Alizter Alizter deleted the ps/rr/functoriality_of_freegroup branch August 29, 2024 18:56
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