Nuprl Lemma : has-header-and-in-locs_wf
∀[f:Name ⟶ Type]. ∀[msg:Message(f)]. ∀[hdr:Name]. ∀[locs:bag(Id)].
  has-header-and-in-locs(msg;hdr;locs) ∈ 𝔹 supposing hdr encodes Id × Top
Proof
Definitions occuring in Statement : 
has-header-and-in-locs: has-header-and-in-locs(msg;hdr;locs)
, 
encodes-msg-type: hdr encodes T
, 
Message: Message(f)
, 
Id: Id
, 
name: Name
, 
bool: 𝔹
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
top: Top
, 
member: t ∈ T
, 
function: x:A ⟶ B[x]
, 
product: x:A × B[x]
, 
universe: Type
, 
bag: bag(T)
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
uimplies: b supposing a
, 
has-header-and-in-locs: has-header-and-in-locs(msg;hdr;locs)
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
bool: 𝔹
, 
unit: Unit
, 
it: ⋅
, 
btrue: tt
, 
band: p ∧b q
, 
ifthenelse: if b then t else f fi 
, 
uiff: uiff(P;Q)
, 
and: P ∧ Q
, 
subtype_rel: A ⊆r B
, 
encodes-msg-type: hdr encodes T
, 
guard: {T}
, 
msg-type: msg-type(msg;f)
, 
iff: P 
⇐⇒ Q
, 
rev_implies: P 
⇐ Q
, 
bfalse: ff
Latex:
\mforall{}[f:Name  {}\mrightarrow{}  Type].  \mforall{}[msg:Message(f)].  \mforall{}[hdr:Name].  \mforall{}[locs:bag(Id)].
    has-header-and-in-locs(msg;hdr;locs)  \mmember{}  \mBbbB{}  supposing  hdr  encodes  Id  \mtimes{}  Top
Date html generated:
2016_05_17-AM-08_53_01
Last ObjectModification:
2015_12_29-PM-02_55_16
Theory : messages
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