Theorem frel 4566

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 4562	. 2 |- (F:A-->B -> F Fn A)
2		fnrel 4511	. 2 |- (F Fn A -> Rel F)
3	1, 2	syl 12	1 |- (F:A-->B -> Rel F)

Syntax hints:   -> wi 3  Rel wrel 3991   Fn wfn 3993  -->wf 3994

This theorem is referenced by:  fssxp 4575  fssxpOLD 4576  fcoi2OLD 4587  foconst 4629  fsn 4807  mapsn 5404  metn0 9098  gapm 9462  hmeobc 10239

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 164  df-an 242  df-fun 4008  df-fn 4009  df-f 4010

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