Nuprl Lemma : pioption-left_wf
∀[v:pi_term()]. pioption-left(v) ∈ pi_term() supposing ↑pioption?(v)
Proof
Definitions occuring in Statement :
pioption-left: pioption-left(v),
pioption?: pioption?(v),
pi_term: pi_term(),
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
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),
sq_type: SQType(T),
guard: {T},
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
pioption?: pioption?(v),
pi1: fst(t),
assert: ↑b,
bfalse: ff,
false: False,
exists: ∃x:A. B[x],
prop: ℙ,
or: P ∨ Q,
bnot: ¬bb,
pioption-left: pioption-left(v),
pi2: snd(t)
Latex:
\mforall{}[v:pi\_term()]. pioption-left(v) \mmember{} pi\_term() supposing \muparrow{}pioption?(v)
Date html generated:
2016_05_17-AM-11_21_45
Last ObjectModification:
2015_12_29-PM-06_55_17
Theory : event-logic-applications
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