Nuprl Lemma : interface-cmp_wf
∀[f:Name ⟶ Type]. ∀[locs:Id List]. ∀[hdrs:Name List]. ∀[mcmp:hdr:Name ⟶ comparison(f hdr)].
  (interface-cmp(mcmp;locs;hdrs) ∈ comparison(Interface(to locs, with hdrs)))
Proof
Definitions occuring in Statement : 
interface-cmp: interface-cmp(mcmp;locs;hdrs)
, 
constrained-msg-interface: Interface(to locs, with hdrs)
, 
Id: Id
, 
name: Name
, 
comparison: comparison(T)
, 
list: T List
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
apply: f a
, 
function: x:A ⟶ B[x]
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
constrained-msg-interface: Interface(to locs, with hdrs)
, 
subtype_rel: A ⊆r B
, 
prop: ℙ
, 
uimplies: b supposing a
, 
and: P ∧ Q
, 
cand: A c∧ B
, 
interface-cmp: interface-cmp(mcmp;locs;hdrs)
, 
all: ∀x:A. B[x]
Latex:
\mforall{}[f:Name  {}\mrightarrow{}  Type].  \mforall{}[locs:Id  List].  \mforall{}[hdrs:Name  List].  \mforall{}[mcmp:hdr:Name  {}\mrightarrow{}  comparison(f  hdr)].
    (interface-cmp(mcmp;locs;hdrs)  \mmember{}  comparison(Interface(to  locs,  with  hdrs)))
Date html generated:
2016_05_17-AM-09_03_48
Last ObjectModification:
2015_12_29-PM-02_50_58
Theory : messages
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