Nuprl Lemma : pizero_wf
pizero() ∈ pi_term()
Proof
Definitions occuring in Statement :
pizero: pizero(),
pi_term: pi_term(),
member: t ∈ T
Definitions unfolded in proof :
member: t ∈ T,
pi_term: pi_term(),
pizero: pizero(),
subtype_rel: A ⊆r B,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
uall: ∀[x:A]. B[x],
ext-eq: A ≡ B,
and: P ∧ Q,
pi_termco_size: pi_termco_size(p),
has-value: (a)↓,
nat: ℕ,
le: A ≤ B,
less_than': less_than'(a;b),
false: False,
not: ¬A,
implies: P ⇒ Q,
prop: ℙ,
all: ∀x:A. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s],
uimplies: b supposing a
Latex:
pizero() \mmember{} pi\_term()
Date html generated:
2016_05_17-AM-11_20_56
Last ObjectModification:
2015_12_29-PM-06_55_27
Theory : event-logic-applications
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