Nuprl Lemma : has-header-and-in-locs_wf

∀[f:Name ─→ Type]. ∀[msg:Message(f)]. ∀[hdr:Name]. ∀[locs:bag(Id)].
  has-header-and-in-locs(msg;hdr;locs) ∈ 𝔹 supposing hdr encodes Id × Top


Proof




Definitions occuring in Statement :  has-header-and-in-locs: has-header-and-in-locs(msg;hdr;locs),  encodes-msg-type: hdr encodes T,  Message: Message(f),  Id: Id,  name: Name,  bool: 𝔹,  uimplies: b supposing a,  uall: ∀[x:A]. B[x],  top: Top,  member: t ∈ T,  function: x:A ─→ B[x],  product: x:A × B[x],  universe: Type,  bag: bag(T)
Lemmas :  name_eq_wf,  msg-header_wf,  bool_wf,  eqtt_to_assert,  assert-name_eq,  bag-deq-member_wf,  id-deq_wf,  msg-body_wf,  msg-type_wf,  pi1_wf_top,  subtype_rel_wf,  squash_wf,  true_wf,  iff_weakening_equal,  encodes-msg-type_wf,  Id_wf,  top_wf,  bag_wf,  name_wf,  Message_wf

Latex:
\mforall{}[f:Name  {}\mrightarrow{}  Type].  \mforall{}[msg:Message(f)].  \mforall{}[hdr:Name].  \mforall{}[locs:bag(Id)].
    has-header-and-in-locs(msg;hdr;locs)  \mmember{}  \mBbbB{}  supposing  hdr  encodes  Id  \mtimes{}  Top



Date html generated: 2015_07_21-PM-04_49_46
Last ObjectModification: 2015_02_04-PM-05_09_00

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