Nuprl Lemma : tagged-list-messages-wf2
∀[S,V:Type]. ∀[M:Id ⟶ Type]. ∀[s:S]. ∀[v:V]. ∀[L:(t:Id × (S ⟶ V ⟶ (M[t] List))) List].
(tagged-list-messages(s;v;L) ∈ (t:{tg:Id| M[tg]} × M[t]) List)
Proof
Definitions occuring in Statement :
tagged-list-messages: tagged-list-messages(s;v;L),
Id: Id,
list: T List,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ⟶ B[x],
product: x:A × B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
uimplies: b supposing a
Latex:
\mforall{}[S,V:Type]. \mforall{}[M:Id {}\mrightarrow{} Type]. \mforall{}[s:S]. \mforall{}[v:V]. \mforall{}[L:(t:Id \mtimes{} (S {}\mrightarrow{} V {}\mrightarrow{} (M[t] List))) List].
(tagged-list-messages(s;v;L) \mmember{} (t:\{tg:Id| M[tg]\} \mtimes{} M[t]) List)
Date html generated:
2016_05_16-AM-10_57_09
Last ObjectModification:
2015_12_29-AM-09_10_11
Theory : event-ordering
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