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2 changes: 1 addition & 1 deletion content/constant_morphisms.md
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Expand Up @@ -30,7 +30,7 @@ If $X$ is a subterminal object, then any morphism $X \to Y$ is constant. If $Y$
_Proof._ This is immediate from the definitions. <span class="qed">$\square$</span>

::: Lemma 5
If $f : X \to Y$ is a monomorphism that is constant, then $X$ is subterminal.
If $f : X \to Y$ is a monomorphism that is constant, then $X$ is sub&shy;terminal.
:::

_Proof._ If $x_1,x_2 : T \rightrightarrows X$ are morphisms, then $f \circ x_1 = f \circ x_2$ since $f$ is constant. Since $f$ is also a monomorphism, we infer that $x_1 = x_2$. <span class="qed">$\square$</span>
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2 changes: 1 addition & 1 deletion content/contribute.md
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Expand Up @@ -5,7 +5,7 @@ description: CatDat welcomes contributions from the community, including filling

## How to contribute

_CatDat_ is developed in an open-source [GitHub repository](https://github.com/ScriptRaccoon/catdat) owned by [Martin Brandenburg](https://ncatlab.org/nlab/show/Martin+Brandenburg). It welcomes contributions from the community, including filling in missing information or discovering new combinations of properties.
_CatDat_ is developed in an open-source [GitHub repository](https://github.com/ScriptRaccoon/catdat) by [Martin Brandenburg](https://ncatlab.org/nlab/show/Martin+Brandenburg). It welcomes contributions from the community, including filling in missing information or discovering new combinations of properties.

[**Video tutorial**](https://www.youtube.com/watch?v=NoZWdMFfQfg)

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2 changes: 1 addition & 1 deletion content/sifted-colimits-in-groupoids.md
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Expand Up @@ -55,7 +55,7 @@ $$h u_i = v_{i_0} D(b)^{-1} D(a) = v_k D(a) = v_i.$$
Moreover, $h$ is uniquely determined: if $v_i = h u_i$ for all $i \in \I$, then for $i = i_0$ we obtain $v_{i_0} = h$. <span class="qed">$\square$</span>

::: Corollary 2
Let $\C$ be a category with the property that every sifted diagram is eventually constant (for example, a groupoid). Then every object $X \in \C$ is strongly finitely presentable, i.e. the functor $\Hom(X,-) : \C \to \Set$ preserves sifted colimits.
Let $\C$ be a category with the property that every sifted diagram is eventually constant (for example, a groupoid). Then every object $X \in \C$ is strongly finitely presentable, i.e. the functor $\Hom(X,-) : \C \to \Set$ preserves sifted co&shy;limits.
:::

_Proof._
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4 changes: 3 additions & 1 deletion src/components/Popup.svelte
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Expand Up @@ -88,7 +88,9 @@ an issue when clicking two proofs in a row. So it's a <div> then.
<Fa icon={faXmark} />
</button>
</header>
{@html popup_state.text}
<div class="justified">
{@html popup_state.text}
</div>
</div>
</div>

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4 changes: 2 additions & 2 deletions src/pages/ImplicationPage.svelte
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Expand Up @@ -37,7 +37,7 @@

<h2>Implication Details</h2>

<p>
<p class="justified">
<strong>Claim:</strong>
{#if has_associated_assumptions}
Given a {remove_underscores(type)}
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{/each}
</p>

<p>
<p class="justified">
<strong>Proof:</strong>
{@html implication.proof}
</p>
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2 changes: 1 addition & 1 deletion src/pages/PropertyPage.svelte
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Expand Up @@ -48,7 +48,7 @@

<TagList {tags} {type} sort="property" />

<p>
<p class="justified">
{@html property.description}

{#if property.invariant_under_equivalences === false}
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2 changes: 1 addition & 1 deletion src/pages/StructureDetailPage.svelte
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Expand Up @@ -134,7 +134,7 @@
{/if}
</ul>

<p>{@html structure.description}</p>
<p class="justified">{@html structure.description}</p>
</section>

<PropertyAssignmentList
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7 changes: 7 additions & 0 deletions src/routes/app.css
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Expand Up @@ -61,6 +61,7 @@ body {
background-color: var(--bg-color);
color: var(--text-color);
line-height: 1.5;
hyphens: auto;
}

body:has(#nav_dialog[open]) {
Expand All @@ -83,6 +84,8 @@ h3 {
font-weight: 500;
color: var(--heading-color);
font-family: 'DM Mono', monospace;
text-align: left;
hyphens: none;
}

h2 {
Expand Down Expand Up @@ -296,6 +299,10 @@ label {
color: var(--error-color);
}

.justified {
text-align: justify;
}

/* container class for youtube videos */

.video-container {
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2 changes: 1 addition & 1 deletion src/routes/content/[id]/+page.svelte
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Expand Up @@ -18,7 +18,7 @@

<MetaData title={data.meta_data.title} description={data.meta_data.description} />

<div class="content">
<div class="content justified">
{@html data.html}
</div>

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