Nuprl Lemma : pi_termco_size_wf
∀[p:pi_termco()]. (pi_termco_size(p) ∈ partial(ℕ))
Proof
Definitions occuring in Statement :
pi_termco_size: pi_termco_size(p),
pi_termco: pi_termco(),
partial: partial(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
nat: ℕ,
so_lambda: λ2x.t[x],
so_apply: x[s],
continuous-monotone: ContinuousMonotone(T.F[T]),
and: P ∧ Q,
type-monotone: Monotone(T.F[T]),
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
ifthenelse: if b then t else f fi ,
bfalse: ff,
exists: ∃x:A. B[x],
prop: ℙ,
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
false: False,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
strong-type-continuous: Continuous+(T.F[T]),
type-continuous: Continuous(T.F[T]),
pi_termco: pi_termco(),
eq_atom: x =a y,
le: A ≤ B,
less_than': less_than'(a;b),
not: ¬A,
pi_termco_size: pi_termco_size(p)
Latex:
\mforall{}[p:pi\_termco()]. (pi\_termco\_size(p) \mmember{} partial(\mBbbN{}))
Date html generated:
2016_05_17-AM-11_20_38
Last ObjectModification:
2015_12_29-PM-06_59_28
Theory : event-logic-applications
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