if and only if

Summary

if and only if is a Boolean function^[1]. It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.^[2]

Key Facts

• if and only if's instance of is recorded as Boolean function^[3].
• if and only if's Commons category is recorded as If and only if^[4].
• if and only if's notation is recorded as triple bar^[5].
• if and only if's depicted by is recorded as ⇔^[6].
• if and only if's depicted by is recorded as ⟺^[7].
• if and only if's depicted by is recorded as ↔^[8].
• if and only if's depicted by is recorded as ≡^[9].
• if and only if's short name is recorded as {'lang': 'en', 'text': 'iff'}^[10].
• if and only if's short name is recorded as {'lang': 'fr', 'text': 'ssi'}^[11].
• if and only if's short name is recorded as {'lang': 'eo', 'text': 's.n.s.'}^[12].
• if and only if's short name is recorded as {'lang': 'it', 'text': 'sse'}^[13].
• if and only if's short name is recorded as {'lang': 'is', 'text': 'eff'}^[14].
• if and only if's short name is recorded as {'lang': 'es', 'text': 'sii'}^[15].
• if and only if's short name is recorded as {'lang': 'nl', 'text': 'desda'}^[16].
• if and only if's short name is recorded as {'lang': 'pt', 'text': 'sse'}^[17].
• if and only if's short name is recorded as {'lang': 'sv', 'text': 'omm'}^[18].
• if and only if's different from is recorded as material implication^[19].
• if and only if's maintained by WikiProject is recorded as WikiProject Mathematics^[20].

Body

Definition and Type

if and only if's instance of is recorded as Boolean function^[3].

Why It Matters

if and only if has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.^[2] It is known by 28 alternative names across languages and contexts.^[21]