Nuprl Lemma : iterated_classrel-exists
∀[Info,A,S:Type]. ∀[init:Id ─→ bag(S)]. ∀[f:A ─→ S ─→ S]. ∀[X:EClass(A)]. ∀[es:EO+(Info)]. ∀[e:E].
↓∃v:S. iterated_classrel(es;S;A;f;init;X;e;v) supposing ↓∃s:S. s ↓∈ init loc(e)
Proof
Definitions occuring in Statement :
iterated_classrel: iterated_classrel(es;S;A;f;init;X;e;v),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
exists: ∃x:A. B[x],
squash: ↓T,
apply: f a,
function: x:A ─→ B[x],
universe: Type,
bag-member: x ↓∈ bs,
bag: bag(T)
Lemmas :
decidable__exists_classrel,
es-first_wf2,
event-ordering+_subtype,
bool_wf,
eqtt_to_assert,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
classrel_wf,
all_wf,
not_wf,
bag-member_wf,
es-loc_wf,
or_wf,
exists_wf,
iterated_classrel_wf,
es-pred_wf,
es-pred-locl,
es-causl_weakening,
squash_wf,
true_wf,
bag_wf,
es-pred-loc-base,
iff_weakening_equal,
assert-bnot
\mforall{}[Info,A,S:Type]. \mforall{}[init:Id {}\mrightarrow{} bag(S)]. \mforall{}[f:A {}\mrightarrow{} S {}\mrightarrow{} S]. \mforall{}[X:EClass(A)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
\mdownarrow{}\mexists{}v:S. iterated\_classrel(es;S;A;f;init;X;e;v) supposing \mdownarrow{}\mexists{}s:S. s \mdownarrow{}\mmember{} init loc(e)
Date html generated:
2015_07_17-PM-00_23_19
Last ObjectModification:
2015_02_04-PM-05_36_26
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