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Renaming equalities
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maybemabeline committed Oct 30, 2023
1 parent 428eb00 commit deff983
Showing 1 changed file with 5 additions and 5 deletions.
10 changes: 5 additions & 5 deletions src/foundation-core/equality-dependent-pair-types.lagda.md
Original file line number Diff line number Diff line change
Expand Up @@ -106,13 +106,13 @@ module _
η-pair : (t : Σ A B) (pair (pr1 t) (pr2 t)) = t
η-pair t = eq-pair-Σ refl refl

eq-base-Σ : {s t : Σ A B} (s = t) (pr1 s = pr1 t)
eq-base-Σ p = pr1 (pair-eq-Σ p)
eq-base-eq-pair : {s t : Σ A B} (s = t) (pr1 s = pr1 t)
eq-base-eq-pair p = pr1 (pair-eq-Σ p)

dependent-eq-Σ :
dependent-eq-family-eq-pair :
{s t : Σ A B} (p : s = t)
dependent-identification B (eq-base-Σ p) (pr2 s) (pr2 t)
dependent-eq-Σ p = pr2 (pair-eq-Σ p)
dependent-identification B (eq-base-eq-pair p) (pr2 s) (pr2 t)
dependent-eq-family-eq-pair p = pr2 (pair-eq-Σ p)
```

### Lifting equality to the total space
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