Nuprl Lemma : pirep?_wf
∀[v:pi_term()]. (pirep?(v) ∈ 𝔹)
Proof
Definitions occuring in Statement :
pirep?: pirep?(v),
pi_term: pi_term(),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ext-eq: A ≡ B,
and: P ∧ Q,
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
uimplies: b supposing a,
sq_type: SQType(T),
guard: {T},
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
pizero: pizero(),
pirep?: pirep?(v),
pi1: fst(t),
bfalse: ff,
exists: ∃x:A. B[x],
prop: ℙ,
or: P ∨ Q,
bnot: ¬bb,
assert: ↑b,
false: False,
picomm: picomm(pre;body),
pioption: pioption(left;right),
pipar: pipar(left;right),
pirep: pirep(body),
pinew: pinew(name;body)
Latex:
\mforall{}[v:pi\_term()]. (pirep?(v) \mmember{} \mBbbB{})
Date html generated:
2016_05_17-AM-11_22_11
Last ObjectModification:
2015_12_29-PM-06_55_11
Theory : event-logic-applications
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