Nuprl Lemma : bm_exists_wf

∀[T,Key:Type]. ∀[m:binary-map(T;Key)]. ∀[p:T ─→ 𝔹].  (bm_exists(m;p) ∈ 𝔹)


Proof




Definitions occuring in Statement :  bm_exists: bm_exists(m;p),  binary-map: binary-map(T;Key),  bool: 𝔹,  uall: ∀[x:A]. B[x],  member: t ∈ T,  function: x:A ─→ B[x],  universe: Type
Lemmas :  binary_map_ind_wf_simple,  bool_wf,  bfalse_wf,  bor_wf,  binary_map_wf,  binary-map_wf
\mforall{}[T,Key:Type].  \mforall{}[m:binary-map(T;Key)].  \mforall{}[p:T  {}\mrightarrow{}  \mBbbB{}].    (bm\_exists(m;p)  \mmember{}  \mBbbB{})



Date html generated: 2015_07_17-AM-08_19_55
Last ObjectModification: 2015_01_27-PM-00_36_37

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