Nuprl Lemma : ses-ordering-ordering'
∀s:SES. (PropertyO 
⇒ ActionsDisjoint 
⇒ ses-ordering'(s))
Proof
Definitions occuring in Statement : 
ses-disjoint: ActionsDisjoint
, 
ses-ordering': ses-ordering'(s)
, 
ses-ordering: PropertyO
, 
security-event-structure: SES
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
Definitions unfolded in proof : 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
ses-ordering': ses-ordering'(s)
, 
member: t ∈ T
, 
uall: ∀[x:A]. B[x]
, 
prop: ℙ
, 
guard: {T}
, 
int_seg: {i..j-}
, 
lelt: i ≤ j < k
, 
and: P ∧ Q
, 
uimplies: b supposing a
, 
satisfiable_int_formula: satisfiable_int_formula(fmla)
, 
exists: ∃x:A. B[x]
, 
false: False
, 
not: ¬A
, 
top: Top
, 
decidable: Dec(P)
, 
or: P ∨ Q
, 
subtype_rel: A ⊆r B
, 
le: A ≤ B
, 
less_than': less_than'(a;b)
, 
nat: ℕ
, 
cand: A c∧ B
, 
so_lambda: λ2x y.t[x; y]
, 
so_apply: x[s1;s2]
, 
es-E-interface: E(X)
, 
sq_type: SQType(T)
, 
assert: ↑b
, 
ifthenelse: if b then t else f fi 
, 
btrue: tt
, 
true: True
, 
infix_ap: x f y
, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
, 
ge: i ≥ j 
, 
iff: P 
⇐⇒ Q
, 
ses-info-flow: ->>
, 
ses-ordering: PropertyO
, 
squash: ↓T
, 
same-action: same-action(x;y)
, 
rel_exp: R^n
, 
subtract: n - m
, 
eq_int: (i =z j)
, 
nat_plus: ℕ+
, 
rev_implies: P 
⇐ Q
, 
uiff: uiff(P;Q)
, 
event-has*: e has* a
, 
rel_star: R^*
Latex:
\mforall{}s:SES.  (PropertyO  {}\mRightarrow{}  ActionsDisjoint  {}\mRightarrow{}  ses-ordering'(s))
Date html generated:
2016_05_17-PM-00_28_07
Last ObjectModification:
2016_01_18-AM-07_50_58
Theory : event-logic-applications
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