Theorem frel 5541

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 5536	. 2 |- ( F : A --> B -> F Fn A )
2		fnrel 5482	. 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 4781   Fn wfn 5375   -->wf 5376

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 5382  df-fn 5383  df-f 5384

This theorem is used by:  fssxp  5558  fsn  5883  eluzel2  9942  gsumresfi  14263  gsum2dfilem2  14272  hmeocnv  15533  metn0  15604  wlkm  16785