Theorem frel 5165

Description: A mapping is a relation. (Contributed by NM, 3-Aug-1994.)

Assertion

Ref	Expression
frel	|- ( F : A --> B -> Rel F )

Proof of Theorem frel

Step	Hyp	Ref	Expression
1		ffn 5161	. 2 |- ( F : A --> B -> F Fn A )
2		fnrel 5112	. 2 |- ( F Fn A -> Rel F )
3	1, 2	syl 14	1 |- ( F : A --> B -> Rel F )

Syntax hints:   -> wi 4   Rel wrel 4443   Fn wfn 5010   -->wf 5011

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104

This theorem depends on definitions:  df-bi 115  df-fun 5017  df-fn 5018  df-f 5019

This theorem is referenced by:  fssxp  5178  fsn  5469  eluzel2  9024