Nuprl Lemma : oar-order_wf
∀[Info:Type]. ∀[es:EO+(Info)].
∀M:Type. ∀S:EClass(Id × Atom1 × Id × ℕ × M). ∀correct:Id ─→ ℙ. ∀orderers:bag(Id).
(oar-order(es;M;S;correct;orderers) ∈ ℙ)
Proof
Definitions occuring in Statement :
oar-order: oar-order(es;M;S;correct;orderers),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
nat: ℕ,
atom: Atom$n,
uall: ∀[x:A]. B[x],
prop: ℙ,
all: ∀x:A. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type,
bag: bag(T)
Lemmas :
all_wf,
nat_wf,
es-E_wf,
event-ordering+_subtype,
bag-member_wf,
classrel_wf,
less_than_wf,
exists_wf,
es-locl_wf,
subtract_wf,
decidable__le,
false_wf,
not-le-2,
less-iff-le,
condition-implies-le,
minus-one-mul,
zero-add,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
le_wf,
not_wf,
bag_wf,
Id_wf,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)].
\mforall{}M:Type. \mforall{}S:EClass(Id \mtimes{} Atom1 \mtimes{} Id \mtimes{} \mBbbN{} \mtimes{} M). \mforall{}correct:Id {}\mrightarrow{} \mBbbP{}. \mforall{}orderers:bag(Id).
(oar-order(es;M;S;correct;orderers) \mmember{} \mBbbP{})
Date html generated:
2015_07_23-PM-00_26_57
Last ObjectModification:
2015_01_29-AM-01_29_40
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