if and only if

Definitions

1. 1

   Is equivalent to

   Is equivalent to; implies and is implied by; is true and false in the same cases as.

   • A rectangle is a square if and only if all four of its sides have the same length.
   • An integer is even if and only if its square is also even.
2. 2

   Synonym of if (with added intensity)

   • I'll let you go to the concert if and only if you clean your room.

The neighborhood

• neighborif
• neighborif and when
• neighboriff
• neighboronly if
• neighborwhen and only when
• neighbor↔
• neighbor⇔
• neighborlogical connective