Theorem fnrel 5620

Description: A function with domain is a relation. (Contributed by NM, 1-Aug-1994.)

Assertion

Ref	Expression
fnrel	|- ( F Fn A -> Rel F )

Proof of Theorem fnrel

Step	Hyp	Ref	Expression
1		fnfun 5619	. 2 |- ( F Fn A -> Fun F )
2		funrel 5546	. 2 |- ( Fun F -> Rel F )
3	1, 2	syl 16	1 |- ( F Fn A -> Rel F )

Syntax hints:   -> wi 4   Rel wrel 4956   Fun wfun 5523   Fn wfn 5524

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 185  df-an 371  df-fun 5531  df-fn 5532

This theorem is referenced by:  fnbr  5624  fnresdm  5631  fn0  5641  frel  5673  fcoi2  5697  f1rel  5720  f1ocnv  5764  dffn5  5849  fnsnfv  5863  fconst5  6047  fnex  6056  fnexALT  6656  tz7.48-2  7010  zorn2lem4  8782  imasvscafn  14597  2oppchomf  14785  feqmptdf  26149  dfafn5a  30234  resfnfinfin  30333  bnj66  32205