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ncfavier merged 1 commit into from
Dec 30, 2025
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chore: small fixes to text of 1Lab.Path #576

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8 changes: 4 additions & 4 deletions src/1Lab/Path.lagda.md
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Original file line number Diff line number Diff line change
Expand Up @@ -188,9 +188,9 @@ typing rules, if that helps.

$$
\frac{
\Gamma, i : \bI \vdash e : A \quad
\Gamma \vdash e(\iZ) = a : A(\iZ) \quad
\Gamma \vdash e(\iO) = b : A(\iO) \quad
\Gamma, i : \bI \vdash e : A(i) \quad
\Gamma \vdash e[\iZ / i] = a : A(\iZ) \quad
\Gamma \vdash e[\iO / i] = b : A(\iO) \quad
}{
\Gamma \vdash (\lam{i}{e}) : \PathP{A}{a}{b}
}
Expand Down Expand Up @@ -871,7 +871,7 @@ of the path. When $i = \iZ$, we have exactly `transport refl x`; but
when $i = \iO$, the entire `transp`{.Agda} computes away, and we're left
with just $x$. In fact, the proof of `transport-refl`{.Agda} generalises
to a natural operation computing a dependent path: we call it the
*filler* of the transport, since it *fills* a line $\PathP{p}{x}{\transport{p}{x}}$.
*filler* of the transport, since it *fills* a line $\PathP{p}{x}{(\transport{p}{x})}$.

```agda
transport-filler
Expand Down
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