Nuprl Lemma : event-has_functionality
∀s:SES. (ActionsDisjoint ⇒ (∀es:EO+(Info). ∀x,y:E. (same-action(x;y) ⇒ (∀a:Atom1. ((x has a) ⇒ (y has a))))))
Proof
Definitions occuring in Statement :
ses-disjoint: ActionsDisjoint,
same-action: same-action(x;y),
event-has: (e has a),
ses-info: Info,
security-event-structure: SES,
event-ordering+: EO+(Info),
es-E: E,
atom: Atom$n,
all: ∀x:A. B[x],
implies: P ⇒ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
implies: P ⇒ Q,
same-action: same-action(x;y),
ses-disjoint: ActionsDisjoint,
member: t ∈ T,
exists: ∃x:A. B[x],
or: P ∨ Q,
and: P ∧ Q,
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
sq_type: SQType(T),
guard: {T},
event-has: (e has a),
class-value-has: X(e) has a,
squash: ↓T,
prop: ℙ,
true: True,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
top: Top,
false: False
Latex:
\mforall{}s:SES
(ActionsDisjoint
{}\mRightarrow{} (\mforall{}es:EO+(Info). \mforall{}x,y:E. (same-action(x;y) {}\mRightarrow{} (\mforall{}a:Atom1. ((x has a) {}\mRightarrow{} (y has a))))))
Date html generated:
2016_05_17-PM-00_27_10
Last ObjectModification:
2016_01_18-AM-07_46_02
Theory : event-logic-applications
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