Nuprl Lemma : local-simulation-class_wf
∀[f:Name ⟶ Type]. ∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[locs:bag(Id)]. ∀[hdr:Name].
local-simulation-class(X;locs;hdr) ∈ EClass(T) supposing hdr encodes Id × Info
Proof
Definitions occuring in Statement :
local-simulation-class: local-simulation-class(X;locs;hdr),
encodes-msg-type: hdr encodes T,
Message: Message(f),
eclass: EClass(A[eo; e]),
Id: Id,
name: Name,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
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-class: local-simulation-class(X;locs;hdr),
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2]
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[locs:bag(Id)]. \mforall{}[hdr:Name].
local-simulation-class(X;locs;hdr) \mmember{} EClass(T) supposing hdr encodes Id \mtimes{} Info
Date html generated:
2016_05_17-AM-08_52_56
Last ObjectModification:
2015_12_29-PM-02_55_10
Theory : messages
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