Nuprl Lemma : global-eo-eq-E
∀[L:(Id × Top) List]. ∀[a,b:E]. (a = b ~ (a =z b))
Proof
Definitions occuring in Statement :
global-eo: global-eo(L),
es-eq-E: e = e',
es-E: E,
Id: Id,
list: T List,
eq_int: (i =z j),
uall: ∀[x:A]. B[x],
top: Top,
product: x:A × B[x],
sqequal: s ~ t
Lemmas :
global-eo-E-sq,
subtype_base_sq,
int_seg_wf,
length_wf,
Id_wf,
true_wf,
set_subtype_base,
lelt_wf,
int_subtype_base,
bool_sq,
es-E_wf,
global-eo_wf,
top_wf,
event-ordering+_subtype,
list_wf,
rec_select_update_lemma,
global-eo-loc,
iff_imp_equal_bool,
eq_id_wf,
select_wf,
sq_stable__le,
bool_wf,
eqtt_to_assert,
assert-eq-id,
bnot_wf,
lt_int_wf,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
eqff_to_assert,
assert-bnot,
assert_of_lt_int,
less_than_wf,
eq_int_wf,
decidable__equal_int,
false_wf,
not-equal-2,
add_functionality_wrt_le,
add-associates,
add-commutes,
le-add-cancel,
add-swap,
not_wf,
squash_wf,
le_wf,
and_wf,
pi1_wf_top,
less_than_transitivity1,
le_weakening,
less_than_irreflexivity,
iff_transitivity,
assert_wf,
iff_weakening_uiff,
assert_of_band,
assert_of_bnot,
assert_of_eq_int,
iff_wf
Latex:
\mforall{}[L:(Id \mtimes{} Top) List]. \mforall{}[a,b:E]. (a = b \msim{} (a =\msubz{} b))
Date html generated:
2015_07_21-PM-04_35_11
Last ObjectModification:
2015_01_27-PM-05_08_43
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