Nuprl Lemma : prior-as-rec-bind-class-in-property
∀[Info,A:Type]. ∀[X:EClass(A)]. ∀[x,a:bag(A) + (bag(A)?)]. ∀[es:EO+(Info)]. ∀[e:E].
∀[w:bag(A) + (bag(A)?)]. (¬w ∈ prior-as-rec-bind-class-in(X;a)(e)) supposing a ∈ prior-as-rec-bind-class-in(X;x)(e)
Proof
Definitions occuring in Statement :
prior-as-rec-bind-class-in: prior-as-rec-bind-class-in(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,
unit: Unit,
union: left + right,
universe: Type,
bag: bag(T)
Lemmas :
member-eo-forward-E,
es-le-self,
null-class-property,
parallel-classrel,
simple-comb-1_wf,
lifting-1_wf,
until-class_wf,
skip-first-class_wf,
send-class_wf,
single-bag_wf,
top_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
null-class_wf,
bag-member-combine,
empty-bag_wf,
bag_wf,
unit_wf2,
parallel-class_wf,
lift-class_wf,
classrel_wf,
prior-as-rec-bind-class-in_wf,
subtype_rel_sum,
eo-forward_wf,
equal_wf,
Id_wf,
es-loc_wf,
event-ordering+_wf,
eclass_wf,
bag-member-single,
bag-append_wf,
bag-combine_wf,
until-classrel,
skip-first-class-property-iff
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[x,a:bag(A) + (bag(A)?)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
\mforall{}[w:bag(A) + (bag(A)?)]. (\mneg{}w \mmember{} prior-as-rec-bind-class-in(X;a)(e))
supposing a \mmember{} prior-as-rec-bind-class-in(X;x)(e)
Date html generated:
2015_07_21-PM-03_14_03
Last ObjectModification:
2015_01_27-PM-07_25_51
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