if and only if

Summary

if and only if is a Boolean function^[1]. It draws 4,560 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 comprises material implication^[5].
• if and only if comprises converse implication^[6].
• if and only if's notation is recorded as triple bar^[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 depicted by is recorded as ≡^[11].
• if and only if's described by source is recorded as mathisfun.com dictionary^[12].
• if and only if's described by source is recorded as Q140169500^[13].
• if and only if's short name is recorded as iff^[14].
• if and only if's short name is recorded as ssi^[15].
• if and only if's short name is recorded as s.n.s.^[16].
• if and only if's short name is recorded as sse^[17].
• if and only if's short name is recorded as eff^[18].
• if and only if's short name is recorded as sii^[19].
• if and only if's short name is recorded as desda^[20].
• if and only if's short name is recorded as sse^[21].
• if and only if's short name is recorded as omm^[22].
• if and only if's maintained by WikiProject is recorded as WikiProject Mathematics^[23].

Body

Definition and Type

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

Use and Application

Components include material implication^[5], a logical operator^[24] and converse implication^[6], a logical operator^[25].

Why It Matters

if and only if draws 4,560 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.^[26] It is known by 56 alternative names across languages and contexts.^[27]