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单词 iff
释义

iffconj.

Etymology: Arbitrary extension of if conj.
A written form of abbreviation of the phrase ‘if and only if’, always read as ‘if and only if’, used in Mathematics and Logic to introduce a condition that is necessary as well as sufficient, or a statement that is implied by and implies the preceding one.
ΘΚΠ
the mind > attention and judgement > testing > attestation, witness, evidence > qualification > [noun] > instance of > necessary condition
iff1955
1955 J. L. Kelley Gen. Topol. vii. 232 F is equicontinuous at x iff there is a neighborhood of x whose image under every member of F is small.
1961 R. R. Stoll Sets, Logic, & Axiomatic Theories i. 5 Two sets are equal iff (if and only if) they have the same members.
1964 T. O. Moore Elem. Gen. Topol. i. 2 We use ‘iff’ as an abbreviation for ‘if and only if’.
1965 B. Mates Elem. Logic viii. 137 ϕ ∈ Δ iff ϕ is derivable from Δ.
1971 G. Hunter Metalogic 16 Hereafter we abbreviate ‘if and only if’ to ‘iff’.
1972 Royal Inst. Philos. Lect. V. 34 An integer n is prime iff the only integers which divide it without remainder are itself and one.
This entry has not yet been fully updated (first published 1976; most recently modified version published online June 2018).

> as lemmas

I.F.F.
I.F.F. n. Identification, Friend or Foe.
Π
1945 Electronic Engin. 17 686 An I.F.F. unit can be briefly described as being a transmitter-receiver device installed in friendly aircraft whose purpose is to reply to the interrogation of the friendly Radar station.
1961 Listener 30 Nov. 909/1 The I.F.F. radar identification sets in our bombers.
extracted from In.1
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conj.1955
as lemmas
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