Nuprl Lemma : eo-forward-first2
∀[Info:Type]. ∀[eo:EO+(Info)]. ∀[e:E]. ∀[e':{e':E| e' ≤loc e } ]. {uiff(↑first(e);e = e' ∈ E)}
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-first: first(e),
es-E: E,
assert: ↑b,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
guard: {T},
set: {x:A| B[x]} ,
universe: Type,
equal: s = t ∈ T
Lemmas :
eo-forward-first,
member-eo-forward-E,
equal_wf,
Id_wf,
es-loc_wf,
event-ordering+_subtype,
eq_id_wf,
eo-forward_wf,
assert_wf,
bnot_wf,
not_wf,
bool_cases,
subtype_base_sq,
bool_wf,
bool_subtype_base,
eqtt_to_assert,
assert-eq-id,
eqff_to_assert,
iff_transitivity,
iff_weakening_uiff,
assert_of_bnot,
assert-es-eq-E-2,
eo-forward-loc,
es-le-loc,
sq_stable__assert,
es-first_wf2,
equal-wf-T-base,
uiff_transitivity
\mforall{}[Info:Type]. \mforall{}[eo:EO+(Info)]. \mforall{}[e:E]. \mforall{}[e':\{e':E| e' \mleq{}loc e \} ]. \{uiff(\muparrow{}first(e);e = e')\}
Date html generated:
2015_07_17-PM-00_04_24
Last ObjectModification:
2015_01_28-AM-00_15_18
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