El axioma de Sustitución
El axioma de Sustitución
El axioma de Sustitución
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
f(y) ∈ α f(y) <br />
ay ∼ f(y) y ∈ b<br />
b c<br />
F : b → c F (x) ax <br />
F x y b x < y <br />
g ay F (y) g ax <br />
ax g(x) F F (x) = g(x) ∈ F (y) x < y <br />
F (x) < F (y) α, β c β ∈ α x, y ∈ b<br />
α = F (x) β = F (y) x ≤ y F (x) ≤ F (y) <br />
β ∈ α ⊆ β y < x F <br />
F b ∼ c<br />
b ∼ α x b = ax ax ∼ α<br />
x ∈ b = ax b <br />
b = a <br />
γ = c<br />
<br />
<br />
<br />
u <br />
n ∈ ω f <br />
u ωn <br />
<br />
ϕ(x, y) <br />
F : U → U <br />
F (x) = y ↔ ϕ(x, y) Ord <br />
T : Ord → U α T (α) = F (T |α)<br />
T |α = {〈β, T (β)〉 : β ∈ α} α <br />
T |α <br />
α T |α : α → {T (β) : β ∈ α}<br />
<br />
F <br />
α f α <br />
dom(f) = α f(β) = F (f|β) β ∈ α<br />
β ∈ α f α f|β β <br />
γ ∈ β (f|β)|γ = f|γ<br />
α α<br />
f g α dom(f) = dom(g) =<br />
α α <br />
γ γ