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Metamath Proof Explorer

Theorem rabex

Description: Separation Scheme in terms of a restricted class abstraction. (Contributed by NM, 19-Jul-1996)

Ref Expression
Hypothesis rabex.1 ⊢ A ∈ V
Assertion rabex ⊢ x ∈ A | φ ∈ V

Proof

Step Hyp Ref Expression
1 rabex.1 ⊢ A ∈ V
2 rabexg ⊢ A ∈ V → x ∈ A | φ ∈ V
3 1 2 ax-mp ⊢ x ∈ A | φ ∈ V