Copy, type, and use

Therefore Symbol (∴)

The therefore symbol is ∴. ∴ is U+2234 THEREFORE. It introduces a conclusion that follows from preceding statements in mathematical or logical writing.

Character
Unicode
U+2234

Therefore Symbol Copy and Paste

Select Copy to place ∴ on the clipboard. Paste with Ctrl+V on Windows, Command+V on Mac, or the Paste command on mobile.

Copy the therefore symbol One click copies the exact Unicode character.
  1. 1
    Copy

    Press the button to copy ∴.

  2. 2
    Place the cursor

    Open the message, document, form, or profile where you need it.

  3. 3
    Paste

    Use Ctrl+V, Command+V, or the mobile Paste command.

EquationsProofsTechnical documentsMath education

What Is the Therefore Symbol?

∴ is U+2234 THEREFORE. It introduces a conclusion that follows from preceding statements in mathematical or logical writing.

Equations

Proofs

Technical documents

Math education

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How to Type the Therefore Symbol

Choose your device or app to insert the therefore symbol without copying it from another page.

Therefore Symbol on Windows

In Microsoft Word, type 2234 and press Alt+X. In other Windows apps, use Character Map or copy ∴ from this page.

Therefore Symbol on Mac

Open Character Viewer with Control+Command+Space and search for “therefore.”

Therefore Symbol on iPhone and iPad

Use the Copy button to copy ∴, then paste it into the target app. Save a text-replacement shortcut only if the exact sequence is preserved.

Therefore Symbol on Android

Use the Copy button to copy ∴, then paste it into the target app. Keyboard and emoji menus vary by device.

Therefore Symbol on Chromebook

Copy ∴ from this page and press Ctrl+V. A supported character picker may also be available.

Therefore Symbol on Microsoft Word

Paste ∴ into Word. For a single BMP character, Word can also convert its hexadecimal code with Alt+X.

Therefore Symbol on Google Docs

Paste ∴ into Google Docs, or use Insert > Special characters and search by the Unicode name or page title.

Therefore Symbol Unicode and HTML Codes

Use these values when you need the therefore symbol in HTML, CSS, source code, or a character reference.

Unicode U+2234
Unicode name THEREFORE
HTML decimal
HTML hex
CSS escape 2234

How to Use and Format the Therefore Symbol

Format ∴ according to its role as therefore notation. ∴ is U+2234 THEREFORE. It introduces a conclusion that follows from preceding statements in mathematical or logical writing. For the therefore symbol, do not choose a character only because it looks similar to another glyph; verify U+2234 and keep the complete sequence together.

This page covers the conclusion sign ∴ and distinguishes it from because ∵ and from decorative three-dot arrangements. For web content containing the therefore symbol, literal UTF-8 text is preferred when the font supports it; complete decimal or hexadecimal references are also valid. When the therefore symbol conveys an action, category, identity, hazard, measurement, or other essential information, pair it with readable text and an accessible name rather than relying on shape alone.

  • Place ∴ before the conclusion.

  • Use ∵ only when introducing a reason.

  • Include the logical steps needed for the reader to follow the inference.

  • Use the exact encoded form U+2234 for therefore symbol content.

  • Use UTF-8 text or complete numeric character references when publishing ∴ on the web.

  • Test ∴ in the target font, application, and screen-reader workflow.

  • Keep a visible text label near ∴ when readers may not recognize the glyph.

Therefore Symbol Examples

  • a = b and b = c ∴ a = c
  • x > 2 ∴ x + 1 > 3
  • All premises hold ∴ the conclusion follows
  • ∵ p, ∴ q
  • Result established ∴ proceed to the next step
  • Unicode sequence for Therefore Symbol: U+2234
  • HTML decimal: ∴
  • HTML hexadecimal: ∴
  • CSS escapes: 2234
  • Accessible text label: Therefore Symbol

Common Therefore Symbol Mistakes

  • Using ∴ where the conclusion does not logically follow.
  • Confusing ∴ therefore with ∵ because.
  • Using the symbol without surrounding statements.
  • Treating three decorative dots as the same encoded character.
  • Replacing the therefore symbol with a lookalike without checking the code point or sequence.
  • Assuming the therefore symbol has exactly the same glyph in every font and operating system.
  • Converting the therefore symbol to an image when selectable and searchable text is required.
  • Using ∴ as the only accessible name of an interactive control.

More About the Therefore Symbol

Therefore Symbol is represented here by ∴, with U+2234 THEREFORE recorded for verification. The entry concentrates on the literal character or notation. The rendering step should respect Place ∴ before the conclusion. It should also respect Use ∵ only when introducing a reason. For accessibility, describe the actual action, quantity, relation, or character name. Concrete uses recorded here include “a = b and b = c ∴ a = c”; “x > 2 ∴ x + 1 > 3”; “All premises hold ∴ the conclusion follows”. They should be read within Equations, Proofs, Technical documents, since the same shape may be assigned another meaning elsewhere. For the therefore symbol entry, when an HTML representation is needed, use ∴ directly or the recorded numeric forms, including ∴ and ∴. A reliable edit preserves intent as well as shape. Watch for Using ∴ where the conclusion does not logically follow and Confusing ∴ therefore with ∵ because, and do not collapse the page into related records such as number-sign, gay, lesbian. Before indexing, verify ∴ on desktop and mobile, confirm U+2234, and ensure the therefore URL has not inherited another symbol’s intent. It introduces a conclusion that follows from preceding statements in mathematical or logical writing. That answer belongs to Therefore Symbol and should not be copied into an unrelated entry.

Therefore Symbol FAQ

What is the therefore symbol?

∴ is U+2234 THEREFORE. It introduces a conclusion that follows from preceding statements in mathematical or logical writing.

What is the Unicode for ∴?

The encoded form is U+2234: THEREFORE.

How do I type ∴?

Windows: In Microsoft Word, type 2234 and press Alt+X. In other Windows apps, use Character Map or copy ∴ from this page. Mac: Open Character Viewer with Control+Command+Space and search for “therefore.”

What is the opposite of ∴?

The related sign ∵ means “because.”

Is ∴ common in formal proofs?

Usage varies by style; many formal texts write “therefore” or use structured proof notation.