Nuprl Lemma : prior-as-rec-bind-class-in2-property
∀[Info,A:Type]. ∀[X:EClass(A)]. ∀[x,a:bag(A)]. ∀[es:EO+(Info)]. ∀[e:E].
∀[w:bag(A)]. (¬w ∈ prior-as-rec-bind-class-in2(X;a)(e)) supposing a ∈ prior-as-rec-bind-class-in2(X;x)(e)
Proof
Definitions occuring in Statement :
prior-as-rec-bind-class-in2: prior-as-rec-bind-class-in2(X;i),
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-E: E,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
universe: Type,
bag: bag(T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
implies: P ⇒ Q,
all: ∀x:A. B[x],
prop: ℙ,
not: ¬A,
prior-as-rec-bind-class-in2: prior-as-rec-bind-class-in2(X;i),
uiff: uiff(P;Q),
and: P ∧ Q,
false: False,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[x,a:bag(A)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
\mforall{}[w:bag(A)]. (\mneg{}w \mmember{} prior-as-rec-bind-class-in2(X;a)(e))
supposing a \mmember{} prior-as-rec-bind-class-in2(X;x)(e)
Date html generated:
2016_05_17-AM-00_31_43
Last ObjectModification:
2015_12_29-AM-00_39_06
Theory : event-ordering
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