Nuprl Lemma : pi_level_wf
∀[t:pi_term()]. (pi_level(t) ∈ ℕ)
Proof
Definitions occuring in Statement :
pi_level: pi_level(pi-term),
pi_term: pi_term(),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
pi_level: pi_level(pi-term),
nat: ℕ,
le: A ≤ B,
and: P ∧ Q,
less_than': less_than'(a;b),
false: False,
not: ¬A,
implies: P ⇒ Q,
prop: ℙ,
so_lambda: so_lambda(x,y,z.t[x; y; z]),
so_apply: x[s1;s2;s3],
so_lambda: so_lambda(x,y,z,w.t[x; y; z; w]),
all: ∀x:A. B[x],
guard: {T},
ge: i ≥ j ,
decidable: Dec(P),
or: P ∨ Q,
uimplies: b supposing a,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
top: Top,
so_apply: x[s1;s2;s3;s4],
uiff: uiff(P;Q),
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[t:pi\_term()]. (pi\_level(t) \mmember{} \mBbbN{})
Date html generated:
2016_05_17-AM-11_25_41
Last ObjectModification:
2016_01_18-AM-07_47_49
Theory : event-logic-applications
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