Theorem fnrel 3578

Description: A function with domain is a relation.

Assertion

Ref	Expression
fnrel	|- (F Fn A -> Rel F)

Proof of Theorem fnrel

Step	Hyp	Ref	Expression
1		fnfun 3577	. 2 |- (F Fn A -> Fun F)
2		funrel 3525	. 2 |- (Fun F -> Rel F)
3	1, 2	syl 10	1 |- (F Fn A -> Rel F)

Syntax hints:   -> wi 3  Rel wrel 3170  Fun wfun 3171   Fn wfn 3172

This theorem is referenced by:  fnbr 3582  fnresdm 3588  fn0 3597  fnex 3599  frel 3622  fcoi1 3636  fnopabfv 3749  fnsnfv 3758  eqfnfv 3788  fconst5 3839  tz7.48-2 3948

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 3187  df-fn 3188

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