Nuprl Lemma : global-eo-info-before
∀[L:(Id × Top) List]. ∀[e:E]. (map(λe.info(e);before(e)) ~ map(λx.(snd(x));filter(λx.fst(x) = loc(e);firstn(e;L))))
Proof
Definitions occuring in Statement :
global-eo: global-eo(L),
es-info: info(e),
es-before: before(e),
es-loc: loc(e),
es-E: E,
eq_id: a = b,
Id: Id,
filter: filter(P;l),
firstn: firstn(n;as),
map: map(f;as),
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
pi1: fst(t),
pi2: snd(t),
lambda: λx.A[x],
product: x:A × B[x],
sqequal: s ~ t
Lemmas :
upto_wf,
list_wf,
int_seg_wf,
global-eo-info,
global-eo-loc,
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
equal-wf-T-base,
colength_wf_list,
list-cases,
filter_nil_lemma,
map_nil_lemma,
product_subtype_list,
spread_cons_lemma,
sq_stable__le,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-associates,
add-zero,
zero-add,
le-add-cancel,
nat_wf,
decidable__le,
false_wf,
not-le-2,
condition-implies-le,
minus-add,
minus-one-mul,
add-commutes,
le_wf,
subtract_wf,
not-ge-2,
less-iff-le,
minus-minus,
add-swap,
subtype_base_sq,
set_subtype_base,
int_subtype_base,
filter_cons_lemma,
map_cons_lemma,
eq_id_wf,
select_wf,
less_than_transitivity2,
le_weakening2,
bool_wf,
eqtt_to_assert,
assert-eq-id,
Id_wf,
top_wf,
length_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot
Latex:
\mforall{}[L:(Id \mtimes{} Top) List]. \mforall{}[e:E].
(map(\mlambda{}e.info(e);before(e)) \msim{} map(\mlambda{}x.(snd(x));filter(\mlambda{}x.fst(x) = loc(e);firstn(e;L))))
Date html generated:
2015_07_21-PM-04_36_30
Last ObjectModification:
2015_01_27-PM-05_07_21
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