Nuprl Lemma : list-eo-property
∀[Info:Type]. ∀L:Info List+. ∀i:Id. ∃e:E. (L = map(λe.info(e);≤loc(e)) ∈ (Info List))
Proof
Definitions occuring in Statement :
list-eo: list-eo(L;i),
es-info: info(e),
es-le-before: ≤loc(e),
es-E: E,
Id: Id,
listp: A List+,
map: map(f;as),
list: T List,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
lambda: λx.A[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
listp_properties,
list-eo-E-sq,
subtract_wf,
length_wf,
decidable__le,
false_wf,
not-le-2,
condition-implies-le,
minus-one-mul,
zero-add,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
le-add-cancel,
le_wf,
assert_of_lt_int,
subtract-is-less,
assert_wf,
lt_int_wf,
list-eo-info-le-before,
subtype_rel_list,
top_wf,
firstn_all,
add-mul-special,
zero-mul,
add-zero,
equal_wf,
list_wf,
map_wf,
es-E_wf,
list-eo_wf,
event-ordering+_subtype,
es-loc_wf,
es-info_wf,
es-le-before_wf,
Id_wf,
listp_wf
Latex:
\mforall{}[Info:Type]. \mforall{}L:Info List\msupplus{}. \mforall{}i:Id. \mexists{}e:E. (L = map(\mlambda{}e.info(e);\mleq{}loc(e)))
Date html generated:
2015_07_21-PM-04_32_06
Last ObjectModification:
2015_01_27-PM-05_11_15
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