Nuprl Lemma : sq_stable__no-prior-classrel
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[es:EO+(Info)]. ∀[e:E]. SqStable((no X prior to e))
Proof
Definitions occuring in Statement :
no-prior-classrel: (no X prior to 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 :
no-prior-classrel: (no X prior to e),
alle-lt: ∀e<e'.P[e],
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
so_apply: x[s],
all: ∀x:A. B[x],
sq_stable: SqStable(P),
not: ¬A,
false: False,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. SqStable((no X prior to e))
Date html generated:
2016_05_16-PM-02_00_21
Last ObjectModification:
2015_12_29-PM-02_21_38
Theory : event-ordering
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