Nuprl Lemma : bm_foldli_wf

∀[T,U,Key:Type]. ∀[f:Key ─→ T ─→ U ─→ U]. ∀[m:binary-map(T;Key)]. ∀[init:U].  (bm_foldli(f;init;m) ∈ U)


Proof




Definitions occuring in Statement :  bm_foldli: bm_foldli(f;init;m),  binary-map: binary-map(T;Key),  uall: ∀[x:A]. B[x],  member: t ∈ T,  function: x:A ─→ B[x],  universe: Type
Lemmas :  bm_foldli_aux_wf,  binary-map_wf
\mforall{}[T,U,Key:Type].  \mforall{}[f:Key  {}\mrightarrow{}  T  {}\mrightarrow{}  U  {}\mrightarrow{}  U].  \mforall{}[m:binary-map(T;Key)].  \mforall{}[init:U].
    (bm\_foldli(f;init;m)  \mmember{}  U)



Date html generated: 2015_07_17-AM-08_20_52
Last ObjectModification: 2015_01_27-PM-00_36_34

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