Nuprl Lemma : es-fset-at_wf-interface
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[i:Id]. ∀[s:fset(E(X))]. (s@i ∈ E(X) List)
Proof
Definitions occuring in Statement :
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-fset-at: s@i,
fset: fset(T),
Id: Id,
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
es-E-interface: E(X),
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
uimplies: b supposing a,
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
all: ∀x:A. B[x],
prop: ℙ,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
squash: ↓T,
sq_stable: SqStable(P)
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[i:Id]. \mforall{}[s:fset(E(X))]. (s@i \mmember{} E(X) List)
Date html generated:
2016_05_17-AM-07_26_34
Last ObjectModification:
2016_01_17-PM-02_58_27
Theory : event-ordering
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