Nuprl Lemma : es-interface-accum-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[b,f:Top]. ∀[e:E].
es-interface-accum(f;b;X)(e) ~ accumulate (with value b and list item e):
f b X(e)
over list:
≤(X)(e)
with starting value:
b)
supposing ↑e ∈b es-interface-accum(f;b;X)
Proof
Definitions occuring in Statement :
es-interface-accum: es-interface-accum(f;x;X),
es-interface-predecessors: ≤(X)(e),
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
list_accum: list_accum,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
universe: Type,
sqequal: s ~ t
Lemmas :
eq_int_wf,
bag-size_wf,
top_wf,
nat_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
bag_only_single_lemma,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
bag_size_empty_lemma,
assert_wf,
single-bag_wf,
assert-bnot,
neg_assert_of_eq_int,
empty-bag_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
bag_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[b,f:Top]. \mforall{}[e:E].
es-interface-accum(f;b;X)(e) \msim{} accumulate (with value b and list item e):
f b X(e)
over list:
\mleq{}(X)(e)
with starting value:
b)
supposing \muparrow{}e \mmember{}\msubb{} es-interface-accum(f;b;X)
Date html generated:
2015_07_20-PM-03_46_33
Last ObjectModification:
2015_01_27-PM-10_08_11
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