Nuprl Lemma : eo-forward-no-prior-classrel
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[es:EO+(Info)]. ∀[start:E]. ∀[e:E].
uiff((no X prior to e);(no X between start and e)) supposing loc(e) = loc(start) ∈ Id
Proof
Definitions occuring in Statement :
no-classrel-in-interval: (no X between start and e),
no-prior-classrel: (no X prior to e),
eclass: EClass(A[eo; e]),
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
uiff: uiff(P;Q),
and: P ∧ Q,
no-prior-classrel: (no X prior to e),
no-classrel-in-interval: (no X between start and e),
alle-lt: ∀e<e'.P[e],
all: ∀x:A. B[x],
implies: P ⇒ Q,
not: ¬A,
false: False,
prop: ℙ,
subtype_rel: A ⊆r B,
top: Top,
es-locl: (e <loc e'),
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{}[start:E]. \mforall{}[e:E].
uiff((no X prior to e);(no X between start and e)) supposing loc(e) = loc(start)
Date html generated:
2016_05_16-PM-02_01_24
Last ObjectModification:
2015_12_29-PM-02_23_12
Theory : event-ordering
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