Nuprl Lemma : local-simulation-input-consistency_wf
∀[f,g:Name ─→ Type]. ∀[X:EClass(Interface)]. ∀[es:EO+(Message(f))]. ∀[hdr:Name]. ∀[locs:bag(Id)].
∀[i,j:Id]. (local-simulation-input-consistency(g;X;hdr;locs;es;i;j) ∈ ℙ) supposing hdr encodes Id × Message(g)
Proof
Definitions occuring in Statement :
local-simulation-input-consistency: local-simulation-input-consistency(g;X;hdr;locs;es;i;j),
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,
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)
Lemmas :
all_wf,
es-E_wf,
event-ordering+_subtype,
es-loc_wf,
global-order-compat_wf,
local-simulation-inputs_wf,
subtype_rel_list,
bag-member_wf,
subtype_rel_product,
subtype_rel_self,
set_wf,
Id_wf,
encodes-msg-type_wf,
Message_wf,
bag_wf,
name_wf,
event-ordering+_wf,
eclass_wf3,
msg-interface_wf
Latex:
\mforall{}[f,g:Name {}\mrightarrow{} Type]. \mforall{}[X:EClass(Interface)]. \mforall{}[es:EO+(Message(f))]. \mforall{}[hdr:Name]. \mforall{}[locs:bag(Id)].
\mforall{}[i,j:Id]. (local-simulation-input-consistency(g;X;hdr;locs;es;i;j) \mmember{} \mBbbP{})
supposing hdr encodes Id \mtimes{} Message(g)
Date html generated:
2015_07_22-PM-00_00_25
Last ObjectModification:
2015_01_28-AM-08_41_26
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