Nuprl Lemma : eo-forward-first-trivial
∀[Info:Type]. ∀[eo:EO+(Info)]. ∀[e,e':E]. first(e) ~ tt supposing e' = e ∈ E
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-first: first(e),
es-E: E,
btrue: tt,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
sqequal: s ~ t,
equal: s = t ∈ T
Lemmas :
subtype_base_sq,
bool_wf,
bool_subtype_base,
eo-forward-first,
member-eo-forward-E,
es-le-self,
and_wf,
equal_wf,
es-E_wf,
es-le_wf,
eo-forward-loc,
eq_id_wf,
eqtt_to_assert,
assert-eq-id,
iff_imp_equal_bool,
es-eq-E_wf,
true_wf,
assert-es-eq-E-2,
assert_wf,
iff_wf,
eqff_to_assert,
bool_cases_sqequal,
assert-bnot,
Id_wf,
es-loc_wf,
es-first_wf2,
btrue_wf,
event-ordering+_subtype,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}[eo:EO+(Info)]. \mforall{}[e,e':E]. first(e) \msim{} tt supposing e' = e
Date html generated:
2015_07_17-PM-00_04_18
Last ObjectModification:
2015_01_28-AM-00_14_02
Home
Index