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Soit-f-E-F-une-application-P-E-est-l-ensemble-des-parties-de-E-Montrer-que-f-est-surjective-B-P-E-f-f-1-B-B-




Question Number 161205 by mathocean1 last updated on 14/Dec/21
Soit f: E→F une application.   P(E) est l′ensemble des parties  de E. Montrer que:  f est surjective⇔∀ B ∈ P(E), f(f^(−1) (B))=B.
Soitf:EFuneapplication.P(E)estlensembledespartiesdeE.Montrerque:festsurjectiveBP(E),f(f1(B))=B.

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