Nuprl Lemma : classrel-at
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[locs:bag(Id)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[v:T].
(v ∈ X@locs(e) ⇐⇒ loc(e) ↓∈ locs ∧ v ∈ X(e))
Proof
Definitions occuring in Statement :
class-at: X@locs,
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uall: ∀[x:A]. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
universe: Type,
bag-member: x ↓∈ bs,
bag: bag(T)
Lemmas :
classrel_wf,
class-at_wf,
bag-member_wf,
Id_wf,
es-loc_wf,
event-ordering+_subtype,
es-E_wf,
event-ordering+_wf,
bag_wf,
eclass_wf,
bag-deq-member_wf,
id-deq_wf,
assert_wf,
bnot_wf,
not_wf,
bag-member-empty,
bool_wf,
equal-wf-T-base,
bool_cases,
subtype_base_sq,
bool_subtype_base,
eqtt_to_assert,
assert-bag-deq-member,
eqff_to_assert,
iff_transitivity,
iff_weakening_uiff,
assert_of_bnot,
uiff_transitivity
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[locs:bag(Id)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[v:T].
(v \mmember{} X@locs(e) \mLeftarrow{}{}\mRightarrow{} loc(e) \mdownarrow{}\mmember{} locs \mwedge{} v \mmember{} X(e))
Date html generated:
2015_07_20-PM-03_34_28
Last ObjectModification:
2015_01_27-PM-10_15_35
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