Theorem Components
What are Theorem Components?
In academic presentations, you often need to present formal statements like theorems, lemmas, or definitions. This theme provides a special component that:
- Automatically numbers your theorems
- Styles them professionally
- Supports multiple languages
Basic Usage
markdown
<Theorem type="theorem" title="Pythagorean Theorem">
For a right triangle with legs $a$ and $b$, and hypotenuse $c$:
$$a^2 + b^2 = c^2$$
</Theorem>Result: A nicely formatted box with "Theorem 1 (Pythagorean Theorem)" as the header and your content inside.
Available Types
Each type has a different color:
| Type | English | Chinese | Color |
|---|---|---|---|
theorem | Theorem | 定理 | Blue |
lemma | Lemma | 引理 | Purple |
proposition | Proposition | 命题 | Cyan |
corollary | Corollary | 推论 | Green |
definition | Definition | 定义 | Amber |
example | Example | 例 | Pink |
remark | Remark | 注 | Gray |
proof | Proof | 证明 | Slate |
note | Note | 注意 | Sky |
claim | Claim | 断言 | Indigo |
proof and note are rendered without automatic numbering by default. claim participates in the same auto-numbering flow as the other numbered theorem types.
Examples
Simple theorem:
markdown
<Theorem type="theorem">
Every bounded sequence has a convergent subsequence.
</Theorem>Theorem with title:
markdown
<Theorem type="definition" title="Continuity">
A function $f$ is continuous at $x = a$ if...
</Theorem>Manual numbering:
markdown
<Theorem type="lemma" number="3.2">
This will be numbered as "Lemma 3.2" instead of auto-numbering.
</Theorem>No numbering:
markdown
<Theorem type="remark" :autoNumber="false">
This remark has no number.
</Theorem>Content only, without the header label:
markdown
<Theorem type="note" :showHeader="false">
The original cash payment was real, but the **expense for this year** is only the part that has been consumed.
</Theorem>