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Theorem ffun 4991
Description: A mapping is a function. (Contributed by NM, 3-Aug-1994.)
Assertion
Ref Expression
ffun  F : -->  Fun 
F

Proof of Theorem ffun
StepHypRef Expression
1 ffn 4989 . 2  F : -->  F  Fn
2 fnfun 4939 . 2  F  Fn  Fun  F
31, 2syl 14 1  F : -->  Fun 
F
Colors of variables: wff set class
Syntax hints:   wi 4   Fun wfun 4839    Fn wfn 4840   -->wf 4841
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99
This theorem depends on definitions:  df-bi 110  df-fn 4848  df-f 4849
This theorem is referenced by:  funssxp  5003  f00  5024  fofun  5050  fun11iun  5090  fimacnv  5239  dff3im  5255  fmptco  5273  fliftf  5382  smores2  5850  nn0supp  8010
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