Nuprl Lemma : send-once-loc-classrel
∀[Info,A:Type]. ∀[b:Id ─→ bag(A)].
∀es:EO+(Info). ∀e:E. ∀v:A. (v ∈ send-once-loc-class(b)(e) ⇐⇒ v ↓∈ b loc(e) ∧ (↑first(e)))
Proof
Definitions occuring in Statement :
send-once-loc-class: send-once-loc-class(b),
classrel: v ∈ X(e),
event-ordering+: EO+(Info),
es-first: first(e),
es-loc: loc(e),
es-E: E,
Id: Id,
assert: ↑b,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
apply: f a,
function: x:A ─→ B[x],
universe: Type,
bag-member: x ↓∈ bs,
bag: bag(T)
Lemmas :
no-prior-classrel_wf,
es-loc_wf,
event-ordering+_subtype,
es-E_wf,
bag-member_wf,
es-locl-first,
assert_elim,
btrue_neq_bfalse,
classrel_wf,
subtype_rel-equal,
es-locl_wf,
assert_wf,
es-first_wf2,
once-classrel,
once-class_wf,
iff_wf,
event-ordering+_wf,
send-once-loc-class_wf,
Id_wf,
bag_wf,
decidable__assert,
es-pred_wf,
es-pred-locl,
squash_wf,
true_wf,
es-pred-loc-base,
iff_weakening_equal
Latex:
\mforall{}[Info,A:Type]. \mforall{}[b:Id {}\mrightarrow{} bag(A)].
\mforall{}es:EO+(Info). \mforall{}e:E. \mforall{}v:A. (v \mmember{} send-once-loc-class(b)(e) \mLeftarrow{}{}\mRightarrow{} v \mdownarrow{}\mmember{} b loc(e) \mwedge{} (\muparrow{}first(e)))
Date html generated:
2015_07_20-PM-04_02_16
Last ObjectModification:
2015_02_04-PM-05_29_05
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