have heq := p3 A ⟨hzmem, hind⟩
motive : ↑N0 → Prop
hz : motive z
hs : ∀ (n : ↑N0), motive n → motive (S n)
x : ↑N0
A : Set ↑N0 := {x | motive x}
hzmem : z ∈ A
hind : ∀ n ∈ A, S n ∈ A
⊢ motive x
motive : ↑N0 → Prop
hz : motive z
hs : ∀ (n : ↑N0), motive n → motive (S n)
x : ↑N0
A : Set ↑N0 := {x | motive x}
hzmem : z ∈ A
hind : ∀ n ∈ A, S n ∈ A
heq : Subtype.val '' A = N0
⊢ motive x