{ [Info:Type]. [es:EO+(Info)]. [X:EClass(Top)]. [f:sys-antecedent(es;X)].
  [c:Cut(X;f)]. [a:E(X)].
    (prior(X)(a)  c) supposing ((a  prior(X)) and a  c) }

{ Proof }



Definitions occuring in Statement :  es-cut: Cut(X;f) es-prior-interface: prior(X) sys-antecedent: sys-antecedent(es;Sys) es-E-interface: E(X) eclass-val: X(e) in-eclass: e  X eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) es-eq: es-eq(es) assert: b uimplies: b supposing a uall: [x:A]. B[x] top: Top universe: Type fset-member: a  s
Definitions :  bfalse: ff btrue: tt lt_int: i <z j bnot: b le_int: i z j ifthenelse: if b then t else f fi  false: False not: A le: A  B and: P  Q lelt: i  j < k ycomb: Y length: ||as|| int_seg: {i..j} select: l[i] member: t  T implies: P  Q prop: all: x:A. B[x] l_all: (xL.P[x]) fset-closed: (s closed under fs) sys-antecedent: sys-antecedent(es;Sys)
Lemmas :  le_wf es-E-interface_wf select_member es-interface-pred_wf2

\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(Top)].  \mforall{}[f:sys-antecedent(es;X)].  \mforall{}[c:Cut(X;f)].
\mforall{}[a:E(X)].
    (prior(X)(a)  \mmember{}  c)  supposing  ((\muparrow{}a  \mmember{}\msubb{}  prior(X))  and  a  \mmember{}  c)


Date html generated: 2011_08_16-PM-05_46_28
Last ObjectModification: 2011_06_20-AM-01_33_44

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