Nuprl Lemma : es-interface-predecessors_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[e:E]. (≤(X)(e) ∈ {a:E(X)| loc(a) = loc(e) ∈ Id} List)
Proof
Definitions occuring in Statement :
es-interface-predecessors: ≤(X)(e),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
set: {x:A| B[x]} ,
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
es-interface-predecessors: ≤(X)(e),
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
eclass-events: eclass-events(es;X;L),
so_lambda: λ2x.t[x],
prop: ℙ,
so_apply: x[s],
es-E-interface: E(X),
uimplies: b supposing a,
all: ∀x:A. B[x],
implies: P ⇒ Q
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E]. (\mleq{}(X)(e) \mmember{} \{a:E(X)| loc(a) = loc(e)\} List\000C)
Date html generated:
2016_05_16-PM-11_01_58
Last ObjectModification:
2015_12_29-AM-10_42_31
Theory : event-ordering
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