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make opposite Is1Natural definitionally involutive #1969

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merged 5 commits into from
May 27, 2024

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Alizter
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@Alizter Alizter commented May 27, 2024

Carry out the suggestion in #1961. This will allow for more of the data of a monoidal category or (2,1)-category to be definitionally involutive.

Signed-off-by: Ali Caglayan <alizter@gmail.com>
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Signed-off-by: Ali Caglayan <alizter@gmail.com>
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Alizter commented May 27, 2024

Turns out we don't get definitionally involutive associators and unitors since we are taking inverses there. I have updated the tests to show the current state of the opposite involutions. This isn't strictly needed for #1929 anyway.

Co-authored-by: Dan Christensen <jdc+github@uwo.ca>
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Signed-off-by: Ali Caglayan <alizter@gmail.com>
Signed-off-by: Ali Caglayan <alizter@gmail.com>
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LGTM.

@Alizter Alizter merged commit 076f053 into HoTT:master May 27, 2024
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@Alizter Alizter deleted the nattrans-op-inv branch May 27, 2024 20:39
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