Nuprl Lemma : es-prior-interface-val-unique2
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[e:E].
∀[p:E]. (prior(X)(p) = prior(X)(e) ∈ E) supposing ((p <loc e) and (prior(X)(e) <loc p)) supposing ↑e ∈b prior(X)
Proof
Definitions occuring in Statement :
es-prior-interface: prior(X),
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
universe: Type,
equal: s = t ∈ T
Lemmas :
es-prior-interface-val,
es-locl_wf,
eclass-val_wf2,
es-prior-interface_wf,
es-E-interface_wf,
assert_wf,
in-eclass_wf,
es-prior-interface_wf0,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
top_wf,
subtype_top,
es-is-prior-interface,
es-prior-interface-val-unique,
es-locl_transitivity2,
es-le_weakening,
decidable__es-locl,
es-le-not-locl
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E].
\mforall{}[p:E]. (prior(X)(p) = prior(X)(e)) supposing ((p <loc e) and (prior(X)(e) <loc p))
supposing \muparrow{}e \mmember{}\msubb{} prior(X)
Date html generated:
2015_07_21-PM-02_45_55
Last ObjectModification:
2015_07_16-AM-10_05_54
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