if and only if ( synonym found)
Definition of if and only if:

(conjunction) : is equivalent to; implies and is implied by; is true and false in the same cases as
"a rectangle is a rhombus if and only if all four of its sides have the same lengths."
Definition of if and only if:

(conjunction) : is equivalent to; implies and is implied by; is true and false in the same cases as
"a rectangle is a rhombus if and only if all four of its sides have the same lengths."
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