Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Power Sets
Operations
ovexd
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ovssunirn
Metamath Proof Explorer
Ascii
Structured
Theorem
ovexd
Description:
The result of an operation is a set.
(Contributed by
Glauco Siliprandi
, 23-Oct-2021)
Ref
Expression
Assertion
ovexd
⊢
(
𝜑
→ (
𝐴
𝐹
𝐵
) ∈ V )
Proof
Step
Hyp
Ref
Expression
1
ovex
⊢
(
𝐴
𝐹
𝐵
) ∈ V
2
1
a1i
⊢
(
𝜑
→ (
𝐴
𝐹
𝐵
) ∈ V )