Description: Separation Scheme (Aussonderung) in terms of a class abstraction. (Contributed by NM, 8-Jun-1994)
Ref | Expression | ||
---|---|---|---|
Hypothesis | zfausab.1 | ⊢ 𝐴 ∈ V | |
Assertion | zfausab | ⊢ { 𝑥 ∣ ( 𝑥 ∈ 𝐴 ∧ 𝜑 ) } ∈ V |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | zfausab.1 | ⊢ 𝐴 ∈ V | |
2 | ssab2 | ⊢ { 𝑥 ∣ ( 𝑥 ∈ 𝐴 ∧ 𝜑 ) } ⊆ 𝐴 | |
3 | 1 2 | ssexi | ⊢ { 𝑥 ∣ ( 𝑥 ∈ 𝐴 ∧ 𝜑 ) } ∈ V |