Nuprl Lemma : skip-first-class-property-iff
∀[Info,A:Type]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[X:EClass(A)]. ∀[a:A]. uiff(a ∈ Skip(X)(e);False)
Proof
Definitions occuring in Statement :
skip-first-class: Skip(X),
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-E: E,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
false: False,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
false: False,
implies: P ⇒ Q,
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
prop: ℙ,
skip-first-class: Skip(X),
classrel: v ∈ X(e),
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
ifthenelse: if b then t else f fi ,
btrue: tt,
bfalse: ff,
not: ¬A,
bag-member: x ↓∈ bs,
squash: ↓T,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[X:EClass(A)]. \mforall{}[a:A]. uiff(a \mmember{} Skip(X)(e);False)
Date html generated:
2016_05_16-PM-11_26_08
Last ObjectModification:
2016_01_17-PM-07_11_14
Theory : event-ordering
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