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⇏

rightwards double arrow with stroke

Rightwards double arrow with stroke

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⇏ means “does not imply”: what comes before it does not guarantee what comes after it. It appears in mathematics and logic to reject a proposed conclusion. The crossed arrow does not mean the two statements can never both be true.

Text symbol

What ⇏ means

A does not imply B. Here A and B stand for statements. Knowing A is true is not enough to conclude that B must be true. The stroke cancels the implication expressed by ; it does not reverse the arrow.

For example, being an even number does not imply being divisible by four. Six is even but is not divisible by four, so it provides a counterexample: a case that disproves the proposed rule.

Eight is both even and divisible by four. That does not contradict the example: ⇏ rejects a guarantee, not the possibility that both statements hold. To disprove a general implication, one case where A is true and B is false is enough.

Mathematical notation for a precise logical distinction; in ordinary prose, write “does not necessarily mean.”

A ⇏ B does not mean “A implies that B is false.”

Part of the collection

Don't confuse it with

2

Combination ideas

3
A does not imply B
Correlation does not imply causation
Being rich doesn't guarantee being happy

Worth knowing

  • Implication arrows were used in formal logic by 1922, and the double-line form is documented in 1954. These dates concern the underlying arrow, not the first use of ⇏.

How to type or find ⇏

Also called
does not imply · nRightarrow
Search it as
does not imply symbol · not imply · non-implication · crossed double arrow
Shows up in
Anything that takes text · its shape is whatever your font draws
Windows (Word)
⎇Alt+XType 21CF, then AltX to get ⇏.
Windows
⊞Win+Rrun charmap for the full table, or use the emoji picker's Ω symbols tab (Win .).
macOS
⌃Control+⌘Command+␣SpaceOpen the character viewer and search “rightwards double arrow with stroke”.
Linux
⎈Ctrl+⇧Shift+UType 21cf, then Enter or Space.
HTML
⇏
CSS
\21CF
LaTeX
Use \nRightarrow in math mode. In standard LaTeX, load the amssymb package.
Codes and encoding1 code points
HTML decimal
⇏
HTML hex
⇏
CSS content
content: "\21CF";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%87%8F
1
On screen
1
Code points
1
JS .length
3
UTF-8 bytes

A visible symbol can contain several code points. JS .length counts UTF-16 units; UTF-8 counts bytes.

Families this belongs to

1