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emilyriehl committed Jul 14, 2024
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Expand Up @@ -469,6 +469,9 @@ Segal, then so is `Σ A, C`.

## Dependent composition

In a covariant family over a Segal type, we will define dependent composition
of arrows. We first apply the result that the total type is Segal as follows.

```rzk
#def is-contr-horn-ext-is-covariant-family-is-segal-base uses (extext)
( A : U)
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, \ (hh , H) → refl)))
```

We can compose dependent arrows given a covariant type family.
We now prove contractibility of a type that will be used to define dependent
composition.

```rzk title="RS17, Remark 8.11"
#def is-contr-dhom2-comp-is-covariant-family-is-segal-base uses (extext)
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