Nuprl Lemma : hd-es-interval
∀[es:EO]. ∀[e,e':E]. hd([e, e']) = e ∈ E supposing e ≤loc e'
Proof
Definitions occuring in Statement :
es-interval: [e, e'],
es-le: e ≤loc e' ,
es-E: E,
event_ordering: EO,
hd: hd(l),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
equal: s = t ∈ T
Lemmas :
es-le_wf,
es-E_wf,
event_ordering_wf,
es-le-self,
member-es-interval,
decidable__equal_int,
subtype_base_sq,
int_subtype_base,
le-add-cancel2,
add_functionality_wrt_le,
le_antisymmetry_iff,
add-commutes,
zero-add,
add-associates,
add-swap,
minus-one-mul,
minus-add,
condition-implies-le,
less-iff-le,
not-ge-2,
false_wf,
length_wf,
decidable__le,
es-interval_wf,
hd_wf,
select0,
minus-zero,
le-add-cancel,
add-zero,
not-equal-2,
decidable__lt,
less_than_transitivity2,
lelt_wf,
l_before_select,
list_wf,
list-cases,
length_of_nil_lemma,
stuck-spread,
base_wf,
less_than_transitivity1,
less_than_irreflexivity,
less_than_wf,
product_subtype_list,
length_of_cons_lemma,
reduce_hd_cons_lemma,
es-locl_irreflexivity,
es-le_weakening_eq,
select_wf,
es-locl_transitivity2,
sq_stable__le,
l_before-es-interval
\mforall{}[es:EO]. \mforall{}[e,e':E]. hd([e, e']) = e supposing e \mleq{}loc e'
Date html generated:
2015_07_17-AM-08_41_48
Last ObjectModification:
2015_02_02-PM-06_39_28
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