Nuprl Lemma : accum-matching-tagged-indices_wf
∀[pre:pi_prefix()]. ∀[st:a:Id fp-> pi_prefix() List].
(accum-matching-tagged-indices(pre;st) ∈ (Id × ((ℕ × Name) List)) List)
Proof
Definitions occuring in Statement :
accum-matching-tagged-indices: accum-matching-tagged-indices(pre;st),
pi_prefix: pi_prefix(),
fpf: a:A fp-> B[a],
Id: Id,
name: Name,
list: T List,
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
accum-matching-tagged-indices: accum-matching-tagged-indices(pre;st),
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
ifthenelse: if b then t else f fi ,
let: let,
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: so_lambda(x,y,z.t[x; y; z]),
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_apply: x[s1;s2;s3],
subtype_rel: A ⊆r B,
name: Name
Latex:
\mforall{}[pre:pi\_prefix()]. \mforall{}[st:a:Id fp-> pi\_prefix() List].
(accum-matching-tagged-indices(pre;st) \mmember{} (Id \mtimes{} ((\mBbbN{} \mtimes{} Name) List)) List)
Date html generated:
2016_05_17-AM-11_31_36
Last ObjectModification:
2015_12_29-PM-06_50_13
Theory : event-logic-applications
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