Nuprl Lemma : local-simulation-input-validity_wf
∀[f,g:Name ⟶ Type]. ∀[X:EClass(Interface)]. ∀[es:EO+(Message(f))]. ∀[hdr:Name]. ∀[locs:bag(Id)].
∀[hdrs:Name List]. ∀[i:Id]. (local-simulation-input-validity(g;X;hdr;locs;hdrs;es;i) ∈ ℙ)
supposing hdr encodes Id × Message(g)
Proof
Definitions occuring in Statement :
local-simulation-input-validity: local-simulation-input-validity(g;X;hdr;locs;hdrs;es;i),
msg-interface: Interface,
encodes-msg-type: hdr encodes T,
Message: Message(f),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
name: Name,
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
prop: ℙ,
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,
local-simulation-input-validity: local-simulation-input-validity(g;X;hdr;locs;hdrs;es;i),
subtype_rel: A ⊆r B,
encodes-msg-type: hdr encodes T,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
guard: {T},
so_apply: x[s],
all: ∀x:A. B[x],
top: Top,
iff: P ⇐⇒ Q,
and: P ∧ Q,
es-info-type: es-info-type(es;e;f),
msg-type: msg-type(msg;f),
rev_implies: P ⇐ Q,
msg-interface: Interface,
exists: ∃x:A. B[x],
label: ...$L... t
Latex:
\mforall{}[f,g:Name {}\mrightarrow{} Type]. \mforall{}[X:EClass(Interface)]. \mforall{}[es:EO+(Message(f))]. \mforall{}[hdr:Name]. \mforall{}[locs:bag(Id)].
\mforall{}[hdrs:Name List]. \mforall{}[i:Id]. (local-simulation-input-validity(g;X;hdr;locs;hdrs;es;i) \mmember{} \mBbbP{})
supposing hdr encodes Id \mtimes{} Message(g)
Date html generated:
2016_05_17-AM-09_01_55
Last ObjectModification:
2015_12_29-PM-02_51_10
Theory : messages
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