Nuprl Lemma : get-triples_wf
∀[preList:pi_prefix() List]. ∀[st:x:Id fp-> pi_prefix() List]. (get-triples(preList;st) ∈ (ℕ × Id × ℕ × Name) List)
Proof
Definitions occuring in Statement :
get-triples: get-triples(preList;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,
get-triples: get-triples(preList;st),
let: let,
pi1: fst(t),
subtype_rel: A ⊆r B,
uimplies: b supposing a,
le: A ≤ B,
and: P ∧ Q,
less_than': less_than'(a;b),
false: False,
not: ¬A,
implies: P ⇒ Q,
prop: ℙ,
pi2: snd(t),
all: ∀x:A. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\mforall{}[preList:pi\_prefix() List]. \mforall{}[st:x:Id fp-> pi\_prefix() List].
(get-triples(preList;st) \mmember{} (\mBbbN{} \mtimes{} Id \mtimes{} \mBbbN{} \mtimes{} Name) List)
Date html generated:
2016_05_17-AM-11_31_58
Last ObjectModification:
2015_12_29-PM-06_49_35
Theory : event-logic-applications
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