Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Power Sets
Functions
fnrel
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Metamath Proof Explorer
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Theorem
fnrel
Description:
A function with domain is a relation.
(Contributed by
NM
, 1-Aug-1994)
Ref
Expression
Assertion
fnrel
⊢
F
Fn
A
→
Rel
⁡
F
Proof
Step
Hyp
Ref
Expression
1
fnfun
⊢
F
Fn
A
→
Fun
⁡
F
2
funrel
⊢
Fun
⁡
F
→
Rel
⁡
F
3
1
2
syl
⊢
F
Fn
A
→
Rel
⁡
F