Nuprl Lemma : sequential-composition-inputs_wf
∀[Info:Type]. ∀[f:Name ⟶ Type]. ∀[X:EClass(Interface)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[hdr:Name].
  sequential-composition-inputs(es;e;X;hdr) ∈ Message(f) List supposing single-valued-on-header{i:l}(Info;X;hdr)
Proof
Definitions occuring in Statement : 
sequential-composition-inputs: sequential-composition-inputs(es;e;X;hdr)
, 
single-valued-on-header: single-valued-on-header{i:l}(Info;X;hdr)
, 
msg-interface: Interface
, 
Message: Message(f)
, 
eclass: EClass(A[eo; e])
, 
event-ordering+: EO+(Info)
, 
es-E: E
, 
name: Name
, 
list: T List
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
function: x:A ⟶ B[x]
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
uimplies: b supposing a
, 
sequential-composition-inputs: sequential-composition-inputs(es;e;X;hdr)
, 
subtype_rel: A ⊆r B
, 
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
, 
bfalse: ff
, 
prop: ℙ
, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
, 
nat: ℕ
, 
cand: A c∧ B
, 
so_lambda: λ2x y.t[x; y]
, 
so_apply: x[s1;s2]
, 
decidable: Dec(P)
, 
or: P ∨ Q
, 
satisfiable_int_formula: satisfiable_int_formula(fmla)
, 
exists: ∃x:A. B[x]
, 
false: False
, 
not: ¬A
, 
top: Top
Latex:
\mforall{}[Info:Type].  \mforall{}[f:Name  {}\mrightarrow{}  Type].  \mforall{}[X:EClass(Interface)].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].  \mforall{}[hdr:Name].
    sequential-composition-inputs(es;e;X;hdr)  \mmember{}  Message(f)  List 
    supposing  single-valued-on-header\{i:l\}(Info;X;hdr)
Date html generated:
2016_05_17-AM-09_01_45
Last ObjectModification:
2016_01_17-PM-08_32_54
Theory : messages
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