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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