Theorem frel 3636

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 3633	. 2 |- (F:A-->B -> F Fn A)
2		fnrel 3592	. 2 |- (F Fn A -> Rel F)
3	1, 2	syl 10	1 |- (F:A-->B -> Rel F)

Syntax hints:   -> wi 3  Rel wrel 3181   Fn wfn 3183  -->wf 3184

This theorem is referenced by:  fssxp 3643  fcoi2 3652  foconst 3689  fsn 3840  mapsn 4351  metne0 7818  hmeobc 10528

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 3198  df-fn 3199  df-f 3200

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