Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Power Sets
Functions
nfunv
Next ⟩
funopg
Metamath Proof Explorer
Ascii
Structured
Theorem
nfunv
Description:
The universal class is not a function.
(Contributed by
Raph Levien
, 27-Jan-2004)
Ref
Expression
Assertion
nfunv
⊢
¬ Fun V
Proof
Step
Hyp
Ref
Expression
1
nrelv
⊢
¬ Rel V
2
funrel
⊢
( Fun V → Rel V )
3
1
2
mto
⊢
¬ Fun V