Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Power Sets
Operations
ovexi
Next ⟩
ovexd
Metamath Proof Explorer
Ascii
Unicode
Theorem
ovexi
Description:
The result of an operation is a set.
(Contributed by
Glauco Siliprandi
, 26-Jun-2021)
Ref
Expression
Hypothesis
ovexi.1
⊢
A
=
B
F
C
Assertion
ovexi
⊢
A
∈
V
Proof
Step
Hyp
Ref
Expression
1
ovexi.1
⊢
A
=
B
F
C
2
ovex
⊢
B
F
C
∈
V
3
1
2
eqeltri
⊢
A
∈
V