Theorem fnrel 5125

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 5124	. 2 |- ( F Fn A -> Fun F )
2		funrel 5045	. 2 |- ( Fun F -> Rel F )
3	1, 2	syl 14	1 |- ( F Fn A -> Rel F )

Syntax hints:   -> wi 4   Rel wrel 4457   Fun wfun 5022   Fn wfn 5023

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105

This theorem depends on definitions:  df-bi 116  df-fun 5030  df-fn 5031

This theorem is referenced by:  fnbr  5129  fnresdm  5136  fn0  5146  frel  5178  fcoi2  5205  f1rel  5233  f1ocnv  5279  dffn5im  5363  fnex  5533  fnexALT  5898  istps  11791  topontopn  11796  cldrcl  11863