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)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
oar-order: oar-order(es;M;S;correct;orderers),
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
implies: P ⇒ Q,
prop: ℙ,
and: P ∧ Q,
nat: ℕ,
ge: i ≥ j ,
decidable: Dec(P),
or: P ∨ Q,
uimplies: b supposing a,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
not: ¬A,
top: Top,
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
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:
2016_05_17-PM-00_55_13
Last ObjectModification:
2016_01_18-AM-07_39_49
Theory : event-logic-applications
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