Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - start with the Axiom of Extensionality
Subclasses and subsets
ssv
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sseq1
Metamath Proof Explorer
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Unicode
Theorem
ssv
Description:
Any class is a subclass of the universal class.
(Contributed by
NM
, 31-Oct-1995)
Ref
Expression
Assertion
ssv
⊢
A
⊆
V
Proof
Step
Hyp
Ref
Expression
1
elex
⊢
x
∈
A
→
x
∈
V
2
1
ssriv
⊢
A
⊆
V