Therefore Symbol
∴ means “therefore” and is commonly used to indicate a logical conclusion.
U+2234
The symbol ∴ is a compact way to mean “therefore.” You’ll see it in explanations, math notes, proofs, and writing where one statement follows from another. Use it when you want to signal a conclusion clearly and quickly.
Therefore Symbol Meaning
∴ (U+2234) is read as “therefore.” It marks a logical consequence: if premises are stated, ∴ introduces the conclusion that follows from them. In mathematics and logic, it’s often used in informal proof writing to show “so we conclude that…” In general writing, it can also mean “as a result” or “hence,” especially when showing the outcome of reasoning. Because it’s a single symbol, it can save space in notes, worksheets, slide decks, and captions while preserving a clear cause-to-effect flow.
Common uses
- •Signaling a conclusion after stating reasons in explanations
- •Using it in math notes to separate premises from the result
- •Writing proof-like steps in study materials and worksheets
- •Adding emphasis to cause-and-effect statements in presentations
- •Formatting technical reports and documentation where reasoning is summarized
Examples
∴ Therefore Symbol (U+2234)
- ∴If the angles are equal, ∴ the sides are equal.
- ∴All necessary conditions hold; ∴ the result is valid.
- ∴We measured the same value twice, ∴ the measurement is consistent.
- ∴The series converges for this range; ∴ we can sum it.
- ∴The assumptions are satisfied; ∴ the claim follows.
Variations
Ready to copy
Technical codes
| Unicode | U+2234 | |
| HTML Entity | ∴ | |
| HTML Code | ∴ | |
| CSS | \2234 |
FAQ
What does ∴ mean?
∴ means “therefore,” and it’s used to introduce a logical conclusion or result.
Where do I use the “therefore” symbol in writing?
It’s useful after stating reasons or premises, such as in explanations, proof steps, or cause-and-effect conclusions.
How can I copy ∴ from this page?
Copy the character “∴” directly. You can also use the HTML entity (∴) or Unicode escape sequences from the symbol’s data.
Is ∴ the same as “hence” or “so”?
Yes in many contexts—∴ commonly functions like “hence” or “so we conclude,” especially when a conclusion follows from given information.