Theorem frel 5415

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 5410	. 2 |- ( F : A --> B -> F Fn A )
2		fnrel 5357	. 2 |- ( F Fn A -> Rel F )
3	1, 2	syl 14	1 |- ( F : A --> B -> Rel F )

Syntax hints:   -> wi 4   Rel wrel 4669   Fn wfn 5254   -->wf 5255

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106

This theorem depends on definitions:  df-bi 117  df-fun 5261  df-fn 5262  df-f 5263

This theorem is referenced by:  fssxp  5428  fsn  5737  eluzel2  9623  hmeocnv  14627  metn0  14698