Theorem fnrel 4940

Description: A function with domain is a relation. (Contributed by NM, 1-Aug-1994.)

Assertion

Ref	Expression
fnrel	⊢ (𝐹 Fn A → Rel 𝐹)

Proof of Theorem fnrel

Step	Hyp	Ref	Expression
1		fnfun 4939	. 2 ⊢ (𝐹 Fn A → Fun 𝐹)
2		funrel 4862	. 2 ⊢ (Fun 𝐹 → Rel 𝐹)
3	1, 2	syl 14	1 ⊢ (𝐹 Fn A → Rel 𝐹)

Syntax hints:   → wi 4  Rel wrel 4293  Fun wfun 4839   Fn wfn 4840

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99

This theorem depends on definitions:  df-bi 110  df-fun 4847  df-fn 4848

This theorem is referenced by:  fnbr  4944  fnresdm  4951  fn0  4961  frel  4992  fcoi2  5014  f1rel  5038  f1ocnv  5082  dffn5im  5162  fnex  5326  fnexALT  5682