Nuprl Lemma : State-comb-top
∀[Info,A:Type]. ∀[es:EO+(Info)]. ∀[f:Top]. ∀[X:EClass(A)]. ∀[init:Id ─→ bag(Top)]. (State-comb(init;f;X) ∈ EClass(Top))
Proof
Definitions occuring in Statement :
State-comb: State-comb(init;f;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
rec-combined-class-opt-1_wf,
bool_wf,
equal-wf-T-base,
assert_wf,
bnot_wf,
not_wf,
bag-combine_wf,
single-bag_wf,
Id_wf,
bag_wf,
top_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
uiff_transitivity,
eqtt_to_assert,
assert-bag-null,
iff_transitivity,
iff_weakening_uiff,
eqff_to_assert,
assert_of_bnot
Latex:
\mforall{}[Info,A:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[f:Top]. \mforall{}[X:EClass(A)]. \mforall{}[init:Id {}\mrightarrow{} bag(Top)].
(State-comb(init;f;X) \mmember{} EClass(Top))
Date html generated:
2015_07_22-PM-00_22_07
Last ObjectModification:
2015_01_28-AM-10_12_01
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