User blog comment:Rgetar/Idea of program/@comment-80.98.179.160-20171224180551/@comment-32213734-20171228211948

And if α is in standard form, can α[n] be not in standard form?

For example, the fundamental sequence rule for Veblen function: if β - limit ordinal, then φ(..., β)[n] = φ(..., β[n]).

Let β = ε0 + ω, and ... is empty. Then

φ(ε0 + ω)[n] = ωε0 + ω[n] = ω(ε0 + ω)[n] = ωε0 + n

Particularly,

φ(ε0 + ω)[0] = ωε0

So, from ordinal in standard form φ(ε0 + ω) we get fundamental sequence element not in standard form ωε0. I wonder, is there same thing in this OCF?