Nuprl Lemma : primed-class-opt-es-sv0
∀[Info,B:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(B)]. ∀[init:Id ─→ bag(B)]. ∀[e:E].
((#(init loc(e)) ≤ 1) ⇒ (∀e':E. ((e' <loc e) ⇒ (#(X es e') ≤ 1))) ⇒ (#(Prior(X)?init es e) ≤ 1))
Proof
Definitions occuring in Statement :
primed-class-opt: Prior(X)?b,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-loc: loc(e),
es-E: E,
Id: Id,
uall: ∀[x:A]. B[x],
le: A ≤ B,
all: ∀x:A. B[x],
implies: P ⇒ Q,
apply: f a,
function: x:A ─→ B[x],
natural_number: $n,
universe: Type,
bag-size: #(bs),
bag: bag(T)
Lemmas :
bool_wf,
es-local-pred-cases,
subtype_rel_dep_function,
es-locl_wf,
subtype_rel_self,
set_wf,
es-local-pred_wf,
or_wf,
sq_exists_wf,
assert_wf,
all_wf,
not_wf,
sq_stable__le,
bag-size_wf,
isect_wf,
true_wf,
es-first_wf2,
es-pred_wf,
isl_wf,
bfalse_wf,
and_wf,
equal_wf,
es-E_wf,
event-ordering+_subtype,
assert_elim,
btrue_neq_bfalse,
false_wf,
le_wf,
nat_wf,
es-loc_wf,
less_than_wf,
primed-class-opt_wf,
eclass_wf,
event-ordering+_wf,
Id_wf,
bag_wf
Latex:
\mforall{}[Info,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(B)]. \mforall{}[init:Id {}\mrightarrow{} bag(B)]. \mforall{}[e:E].
((\#(init loc(e)) \mleq{} 1)
{}\mRightarrow{} (\mforall{}e':E. ((e' <loc e) {}\mRightarrow{} (\#(X es e') \mleq{} 1)))
{}\mRightarrow{} (\#(Prior(X)?init es e) \mleq{} 1))
Date html generated:
2015_07_22-PM-00_08_26
Last ObjectModification:
2015_01_28-AM-11_42_28
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