Nuprl Lemma : sq_stable__no-classrel-in-interval
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[es:EO+(Info)]. ∀[start,e:E]. SqStable((no X between start and e))
Proof
Definitions occuring in Statement :
no-classrel-in-interval: (no X between start and e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
sq_stable: SqStable(P),
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
no-classrel-in-interval: (no X between start and e),
sq_stable: SqStable(P),
implies: P ⇒ Q,
alle-lt: ∀e<e'.P[e],
all: ∀x:A. B[x],
not: ¬A,
false: False,
uimplies: b supposing a,
prop: ℙ,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[start,e:E]. SqStable((no X between start and e))
Date html generated:
2016_05_16-PM-02_01_08
Last ObjectModification:
2015_12_29-PM-02_22_25
Theory : event-ordering
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