if and only if

Summary

if and only if is a Boolean function^[1]. It draws 369 Wikipedia views per month (boolean_function category, ranking #2 of 5).^[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 Freebase ID is recorded as /m/03vn7^[5].
• if and only if's notation is recorded as triple bar^[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 depicted by is recorded as ≡^[10].
• if and only if's short name is recorded as {'lang': 'en', 'text': 'iff'}^[11].
• if and only if's short name is recorded as {'lang': 'fr', 'text': 'ssi'}^[12].
• if and only if's short name is recorded as {'lang': 'eo', 'text': 's.n.s.'}^[13].
• if and only if's short name is recorded as {'lang': 'it', 'text': 'sse'}^[14].
• if and only if's short name is recorded as {'lang': 'is', 'text': 'eff'}^[15].
• if and only if's short name is recorded as {'lang': 'es', 'text': 'sii'}^[16].
• if and only if's short name is recorded as {'lang': 'nl', 'text': 'desda'}^[17].
• if and only if's short name is recorded as {'lang': 'pt', 'text': 'sse'}^[18].
• if and only if's short name is recorded as {'lang': 'sv', 'text': 'omm'}^[19].
• if and only if's different from is recorded as material implication^[20].
• if and only if's MathWorld ID is recorded as Iff^[21].
• if and only if's maintained by WikiProject is recorded as WikiProject Mathematics^[22].
• if and only if's Microsoft Academic ID is recorded as 43420412^[23].
• if and only if's ProofWiki ID is recorded as Definition:Iff^[24].
• if and only if's Lex ID is recorded as biimplikation^[25].
• if and only if's IEV number is recorded as 171-03-15^[26].
• if and only if's Treccani's Enciclopedia della Matematica ID is recorded as se-e-solo-se^[27].

Why It Matters

if and only if draws 369 Wikipedia views per month (boolean_function category, ranking #2 of 5).^[2] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.^[28] It is known by 28 alternative names across languages and contexts.^[29]