Nuprl Lemma : sub-es-pred_wf
∀[es:EO]. ∀[dom:E ─→ 𝔹]. ∀[e:E]. (sub-es-pred(es;dom;e) ∈ {e:E| ↑(dom e)} ?)
Proof
Definitions occuring in Statement :
sub-es-pred: sub-es-pred(es;dom;e),
es-E: E,
event_ordering: EO,
assert: ↑b,
bool: 𝔹,
uall: ∀[x:A]. B[x],
unit: Unit,
member: t ∈ T,
set: {x:A| B[x]} ,
apply: f a,
function: x:A ─→ B[x],
union: left + right
Lemmas :
es-locl-swellfnd,
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
int_seg_wf,
int_seg_subtype-nat,
decidable__le,
subtract_wf,
false_wf,
not-ge-2,
less-iff-le,
condition-implies-le,
minus-one-mul,
zero-add,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
decidable__equal_int,
subtype_rel-int_seg,
le_weakening,
int_seg_properties,
le_wf,
nat_wf,
zero-le-nat,
lelt_wf,
es-locl_wf,
equal_wf,
decidable__lt,
not-equal-2,
le-add-cancel-alt,
not-le-2,
sq_stable__le,
add-mul-special,
zero-mul,
es-E_wf,
bool_wf,
event_ordering_wf,
es-first_wf2,
it_wf,
assert_wf,
equal-wf-T-base,
bnot_wf,
not_wf,
es-pred_wf,
eqtt_to_assert,
unit_wf2,
eqff_to_assert,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
es-pred-locl,
uiff_transitivity,
assert_of_bnot
\mforall{}[es:EO]. \mforall{}[dom:E {}\mrightarrow{} \mBbbB{}]. \mforall{}[e:E]. (sub-es-pred(es;dom;e) \mmember{} \{e:E| \muparrow{}(dom e)\} ?)
Date html generated:
2015_07_17-AM-09_05_51
Last ObjectModification:
2015_01_27-PM-00_49_06
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