Theorem frel 5538

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 5533	. 2 |- ( F : A --> B -> F Fn A )
2		fnrel 5479	. 2 |- ( F Fn A -> Rel F )
3	1, 2	syl 14	1 |- ( F : A --> B -> Rel F )

This proof depends on syntax axioms:   -> wi 4   Rel wrel 4779   Fn wfn 5372   -->wf 5373

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106

This proof depends on definitions:  df-bi 117  df-fun 5379  df-fn 5380  df-f 5381

This theorem is used by:  fssxp  5555  fsn  5880  eluzel2  9926  hmeocnv  15408  metn0  15479  wlkm  16580