Nuprl Lemma : strong-message-constraint-no-rep-large-1hdr
∀[f:Name ⟶ Type]. ∀[es:EO+(Message(f))]. ∀[X:EClass(Id × Message(f))]. ∀[hdrs:Name List].
  (no_repeats(Name;hdrs)
  
⇒ strong-message-constraint-no-rep-large{i:l}(es;X;hdrs;f)
  
⇒ (∀hdr:Name. ((hdr ∈ hdrs) 
⇒ strong-message-constraint-no-rep-large{i:l}(es;X;[hdr];f))))
Proof
Definitions occuring in Statement : 
strong-message-constraint-no-rep-large: strong-message-constraint-no-rep-large{i:l}(es;X;hdrs;f)
, 
Message: Message(f)
, 
eclass: EClass(A[eo; e])
, 
event-ordering+: EO+(Info)
, 
Id: Id
, 
name: Name
, 
no_repeats: no_repeats(T;l)
, 
l_member: (x ∈ l)
, 
cons: [a / b]
, 
nil: []
, 
list: T List
, 
uall: ∀[x:A]. B[x]
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
function: x:A ⟶ B[x]
, 
product: x:A × B[x]
, 
universe: Type
Definitions unfolded in proof : 
strong-message-constraint-no-rep-large: strong-message-constraint-no-rep-large{i:l}(es;X;hdrs;f)
, 
all: ∀x:A. B[x]
, 
member: t ∈ T
, 
squash: ↓T
, 
exists: ∃x:A. B[x]
, 
and: P ∧ Q
, 
cand: A c∧ B
, 
uall: ∀[x:A]. B[x]
, 
subtype_rel: A ⊆r B
, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
, 
prop: ℙ
, 
uimplies: b supposing a
, 
implies: P 
⇒ Q
, 
label: ...$L... t
, 
iff: P 
⇐⇒ Q
, 
name: Name
, 
sq_type: SQType(T)
, 
guard: {T}
, 
delivered-with-headers: delivered-with-headers(hdrs;es;e)
, 
true: True
, 
rev_implies: P 
⇐ Q
, 
top: Top
, 
uiff: uiff(P;Q)
, 
assert: ↑b
, 
ifthenelse: if b then t else f fi 
, 
bfalse: ff
, 
or: P ∨ Q
, 
append: as @ bs
, 
so_lambda: so_lambda(x,y,z.t[x; y; z])
, 
so_apply: x[s1;s2;s3]
, 
bool: 𝔹
, 
unit: Unit
, 
it: ⋅
, 
btrue: tt
, 
bnot: ¬bb
, 
false: False
, 
not: ¬A
, 
deq: EqDecider(T)
Latex:
\mforall{}[f:Name  {}\mrightarrow{}  Type].  \mforall{}[es:EO+(Message(f))].  \mforall{}[X:EClass(Id  \mtimes{}  Message(f))].  \mforall{}[hdrs:Name  List].
    (no\_repeats(Name;hdrs)
    {}\mRightarrow{}  strong-message-constraint-no-rep-large\{i:l\}(es;X;hdrs;f)
    {}\mRightarrow{}  (\mforall{}hdr:Name.  ((hdr  \mmember{}  hdrs)  {}\mRightarrow{}  strong-message-constraint-no-rep-large\{i:l\}(es;X;[hdr];f))))
Date html generated:
2016_05_17-AM-08_56_35
Last ObjectModification:
2016_01_17-PM-08_33_39
Theory : messages
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