Nuprl Lemma : no-prior-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[T:Type]. ∀[X:EClass(T)]. ∀[e:E].
uiff(¬↑e ∈b (X)';∀[e':E]. ¬↑e' ∈b X supposing (e' <loc e))
Proof
Definitions occuring in Statement :
es-prior-val: (X)',
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
assert: ↑b,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
universe: Type
Lemmas :
es-locl_wf,
assert_wf,
in-eclass_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
top_wf,
not_wf,
exists_wf,
uall_wf,
isect_wf,
is-prior-val,
es-prior-val_wf,
uiff_wf,
event-ordering+_wf,
eclass_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[e:E].
uiff(\mneg{}\muparrow{}e \mmember{}\msubb{} (X)';\mforall{}[e':E]. \mneg{}\muparrow{}e' \mmember{}\msubb{} X supposing (e' <loc e))
Date html generated:
2015_07_21-PM-03_20_02
Last ObjectModification:
2015_01_27-PM-07_19_10
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