Nuprl Lemma : accum-class-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[base,f:Top]. ∀[e:E].
accum-class(a,x.f[a;x];x.base[x];X)(e) ~ accum_list(a,e.f[a;X(e)];e.base[X(e)];≤(X)(e))
supposing ↑e ∈b accum-class(a,x.f[a;x];x.base[x];X)
Proof
Definitions occuring in Statement :
accum-class: accum-class(a,x.f[a; x];x.base[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,
accum_list: accum_list(a,x.f[a; x];x.base[x];L),
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
so_apply: x[s1;s2],
so_apply: x[s],
universe: Type,
sqequal: s ~ t
Lemmas :
eq_int_wf,
bag-size_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
nat_wf,
bag_size_single_lemma,
bag_only_single_lemma,
true_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
bag_size_empty_lemma,
false_wf,
assert_wf,
in-eclass_wf,
accum-class_wf,
top_wf,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[base,f:Top]. \mforall{}[e:E].
accum-class(a,x.f[a;x];x.base[x];X)(e) \msim{} accum\_list(a,e.f[a;X(e)];e.base[X(e)];\mleq{}(X)(e))
supposing \muparrow{}e \mmember{}\msubb{} accum-class(a,x.f[a;x];x.base[x];X)
Date html generated:
2015_07_20-PM-03_48_57
Last ObjectModification:
2015_01_27-PM-10_06_15
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