Nuprl Lemma : es-local-le-pred_wf
∀[Info:Type]. ∀[P:es:EO+(Info) ─→ E ─→ 𝔹]. (≤(P) ∈ EClass({e:E| ↑(P es e)} ))
Proof
Definitions occuring in Statement :
es-local-le-pred: ≤(P),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
apply: f a,
function: x:A ─→ B[x],
universe: Type
Lemmas :
es-causl-swellfnd,
event-ordering+_subtype,
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
es-E_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-causl_wf,
bool_wf,
eqtt_to_assert,
single-bag_wf,
assert_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
es-first_wf2,
empty-bag_wf,
es-pred_wf,
es-pred-locl,
es-causl_weakening,
decidable__lt,
not-equal-2,
le-add-cancel-alt,
not-le-2,
sq_stable__le,
add-mul-special,
zero-mul,
event-ordering+_wf,
top_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[P:es:EO+(Info) {}\mrightarrow{} E {}\mrightarrow{} \mBbbB{}]. (\mleq{}(P) \mmember{} EClass(\{e:E| \muparrow{}(P es e)\} ))
Date html generated:
2015_07_20-PM-04_07_51
Last ObjectModification:
2015_01_27-PM-09_51_58
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