Forces Symbol
The ⊩ symbol (FORCES, U+22A9) is used in mathematical and logical notation, especially to express a forcing relation.
U+22A9
The symbol ⊩ is commonly called “forces.” It appears in mathematical logic and related formal notation. You can copy it directly or use provided Unicode and escape forms in software.
Forces Symbol Meaning
⊩ (Unicode name: “FORCES”, U+22A9) denotes a “forces” relation in mathematical logic. In forcing-related formalisms, it indicates that a condition (or extension) forces a statement to hold. As a compact notation, it helps distinguish between what is merely asserted in a model and what is guaranteed under a forcing condition. Outside of formal logic, you may also see it used generically to suggest “yields,” “guarantees,” or “entails” in carefully defined contexts, but its most recognized meaning is the forcing relation in logic and set-theoretic frameworks.
Common uses
- •Write formal forcing statements in mathematical logic papers
- •Annotate proof steps where a condition guarantees a claim
- •Label relations in course notes on set theory or model theory
- •Compose LaTeX/Unicode math text where a forcing arrow/turnstile is needed
- •Create precise diagram annotations in logic-oriented educational content
Examples
⊩ Forces Symbol (Forces)
- ⊩Let p ⊩ φ mean that p forces φ.
- ⊩In our framework, each condition determines which sentences are forced.
- ⊩We show that p ⊩ ψ implies q ⊩ ψ for stronger q.
- ⊩The statement is forced by the condition under consideration.
- ⊩Using ⊩, we separate assumptions from guaranteed outcomes.
Variations
Ready to copy
Technical codes
| Unicode | U+22A9 | |
| HTML Entity | ⊩ | |
| HTML Code | ⊩ | |
| CSS | \22A9 |
FAQ
What does the Forces symbol mean?
⊩ (Unicode name: “FORCES”, U+22A9) denotes a “forces” relation in mathematical logic. In forcing-related formalisms, it indicates that a condition (or extension) forces a statement to hold. As a compact notation, it helps distinguish between what is merely asserted in a model and what is guaranteed under a forcing condition. Outside of formal logic, you may also see it used generically to suggest “yields,” “guarantees,” or “entails” in carefully defined contexts, but its most recognized meaning is the forcing relation in logic and set-theoretic frameworks.
What is the Unicode name and code point for ⊩?
The Unicode name is “FORCES” and the code point is U+22A9.
How do I copy the ⊩ symbol?
Select and copy the character ⊩ from this page, then paste it into your document, design tool, or code.
Where is ⊩ most commonly used?
It is most commonly used in mathematical logic notation to express a forcing relation.
Can I use ⊩ in programming or web text?
Yes. You can use HTML entity ⊩ or Unicode escapes such as \\22A9 (CSS) and \\u{22A9} (JavaScript).