Theorem frel 3630

Description: A mapping is a relation.

Assertion

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

Proof of Theorem frel

Step	Hyp	Ref	Expression
1		ffn 3627	. 2 |- (F:A-->B -> F Fn A)
2		fnrel 3586	. 2 |- (F Fn A -> Rel F)
3	1, 2	syl 10	1 |- (F:A-->B -> Rel F)

Syntax hints:   -> wi 3  Rel wrel 3175   Fn wfn 3177  -->wf 3178

This theorem is referenced by:  fssxp 3637  fcoi2 3646  foconst 3683  fsn 3834  mapsn 4345  metne0 7821  hmeobc 10542

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 147  df-an 225  df-fun 3192  df-fn 3193  df-f 3194

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