theorem Set.mem_sep_iff._simp_1
theorem Set.mem_sep_iff._simp_1: ∀ {α : Type u} {s : zpg9xh52.Set α} {x : α} {p : α → Prop}, Membership.mem (zpg9xh52.setOf fun x => Membership.mem s x ∧ p x) x = (Membership.mem s x ∧ p x)
theorem Set.mem_sep_iff._simp_1
theorem Set.mem_sep_iff._simp_1: ∀ {α : Type u} {s : zpg9xh52.Set α} {x : α} {p : α → Prop}, Membership.mem (zpg9xh52.setOf fun x => Membership.mem s x ∧ p x) x = (Membership.mem s x ∧ p x)