Nuprl Lemma : OARcast_Deliverer_wf
∀[M:ValueAllType]. ∀[deliverhdr:Atom List]. ∀[deqM:EqDecider(M)]. ∀[flrs:ℤ]. ∀[oarcasthdr,orderedhdr:Atom List].
∀[orderers:bag(Id)]. ∀[orderhdr:Atom List].
∀[mf:OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
  (OARcast_Deliverer(M;deliverhdr;deqM;flrs;oarcasthdr;orderedhdr;orderers;orderhdr;mf) ∈ EClass(Interface))
Proof
Definitions occuring in Statement : 
OARcast_Deliverer: OARcast_Deliverer(M;deliverhdr;deqM;flrs;oarcasthdr;orderedhdr;orderers;orderhdr;mf)
, 
OARcast_headers_type: OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)
, 
msg-interface: Interface
, 
Message: Message(f)
, 
eclass: EClass(A[eo; e])
, 
Id: Id
, 
list: T List
, 
deq: EqDecider(T)
, 
vatype: ValueAllType
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
int: ℤ
, 
atom: Atom
, 
bag: bag(T)
Definitions unfolded in proof : 
vatype: ValueAllType
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
OARcast_headers_type: OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)
, 
name: Name
, 
subtype_rel: A ⊆r B
, 
prop: ℙ
, 
and: P ∧ Q
, 
implies: P 
⇒ Q
, 
sq_stable: SqStable(P)
, 
l_all: (∀x∈L.P[x])
, 
all: ∀x:A. B[x]
, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
, 
iff: P 
⇐⇒ Q
, 
OARcast_headers: OARcast_headers(deliverhdr;oarcasthdr;orderedhdr;orderhdr)
, 
rev_implies: P 
⇐ Q
, 
guard: {T}
, 
or: P ∨ Q
, 
uimplies: b supposing a
, 
OARcast_headers_fun: OARcast_headers_fun(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)
, 
bool: 𝔹
, 
unit: Unit
, 
it: ⋅
, 
btrue: tt
, 
uiff: uiff(P;Q)
, 
ifthenelse: if b then t else f fi 
, 
cand: A c∧ B
, 
OARcast_headers_no_rep: OARcast_headers_no_rep(deliverhdr;oarcasthdr;orderedhdr;orderhdr)
, 
squash: ↓T
, 
no_repeats: no_repeats(T;l)
, 
nat: ℕ
, 
le: A ≤ B
, 
less_than': less_than'(a;b)
, 
false: False
, 
not: ¬A
, 
length: ||as||
, 
list_ind: list_ind, 
cons: [a / b]
, 
nil: []
, 
less_than: a < b
, 
true: True
, 
ge: i ≥ j 
, 
satisfiable_int_formula: satisfiable_int_formula(fmla)
, 
exists: ∃x:A. B[x]
, 
top: Top
, 
select: L[n]
, 
subtract: n - m
, 
bfalse: ff
, 
sq_type: SQType(T)
, 
bnot: ¬bb
, 
assert: ↑b
, 
OARcast_Deliverer: OARcast_Deliverer(M;deliverhdr;deqM;flrs;oarcasthdr;orderedhdr;orderers;orderhdr;mf)
Latex:
\mforall{}[M:ValueAllType].  \mforall{}[deliverhdr:Atom  List].  \mforall{}[deqM:EqDecider(M)].  \mforall{}[flrs:\mBbbZ{}].
\mforall{}[oarcasthdr,orderedhdr:Atom  List].  \mforall{}[orderers:bag(Id)].  \mforall{}[orderhdr:Atom  List].
\mforall{}[mf:OARcast\_headers\_type\{i:l\}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
    (OARcast\_Deliverer(M;deliverhdr;deqM;flrs;oarcasthdr;orderedhdr;orderers;orderhdr;mf)
      \mmember{}  EClass(Interface))
Date html generated:
2016_05_17-PM-01_12_21
Last ObjectModification:
2016_01_18-AM-07_33_19
Theory : event-logic-applications
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