Nuprl Lemma : es-class-reply-or-fail_wf

[Info,A,B:Type]. ∀[loc1:A ─→ Id]. ∀[loc2:B ─→ Id]. ∀[es:EO+(Info)]. ∀[f:Id List]. ∀[X:EClass(A)]. ∀[Y:EClass(B)].
[R:E(X) ─→ A ─→ B ─→ ℙ].
  (∀e,x,y. e∈X(x) c ∃ reply Y(y)@loc1[x] such that
                      unless loc(e) ∈ f ∈ ℙ)


Definitions occuring in Statement :  es-class-reply-or-fail: es-class-reply-or-fail es-E-interface: E(X) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) Id: Id list: List uall: [x:A]. B[x] prop: so_apply: x[s1;s2;s3] so_apply: x[s] member: t ∈ T function: x:A ─→ B[x] universe: Type
Lemmas :  all_wf es-E-interface_wf es-interface-subtype_rel2 es-E_wf event-ordering+_subtype top_wf exists_wf es-causle_wf es-loc_wf eclass-val_wf assert_elim in-eclass_wf subtype_base_sq bool_wf bool_subtype_base or_wf l_member_wf event-ordering+_wf eclass_wf list_wf Id_wf

\mforall{}[Info,A,B:Type].  \mforall{}[loc1:A  {}\mrightarrow{}  Id].  \mforall{}[loc2:B  {}\mrightarrow{}  Id].  \mforall{}[es:EO+(Info)].  \mforall{}[f:Id  List].  \mforall{}[X:EClass(A)].
\mforall{}[Y:EClass(B)].  \mforall{}[R:E(X)  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  \mBbbP{}].
    (\mforall{}e,x,y.  e\mmember{}X(x)  \mLeftarrow{}c\mRightarrow{}  \mexists{}  reply  Y(y)@loc1[x]  such  that
                                            unless  loc(e)  \mmember{}  f  \mmember{}  \mBbbP{})

Date html generated: 2015_07_21-PM-04_27_14
Last ObjectModification: 2015_01_27-PM-05_14_54

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