Nuprl Lemma : DVp_Array-arr_wf

[v:C_DVALUEp()]. DVp_Array-arr(v) ∈ {DVp_Array-lower(v)..DVp_Array-upper(v)-} ─→ C_DVALUEp() supposing ↑DVp_Array?(v)


Proof




Definitions occuring in Statement :  DVp_Array-arr: DVp_Array-arr(v) DVp_Array-upper: DVp_Array-upper(v) DVp_Array-lower: DVp_Array-lower(v) DVp_Array?: DVp_Array?(v) C_DVALUEp: C_DVALUEp() int_seg: {i..j-} assert: b uimplies: supposing a uall: [x:A]. B[x] member: t ∈ T function: x:A ─→ B[x]
Lemmas :  C_DVALUEp-ext eq_atom_wf bool_wf eqtt_to_assert assert_of_eq_atom subtype_base_sq atom_subtype_base unit_wf2 unit_subtype_base it_wf eqff_to_assert equal_wf bool_cases_sqequal bool_subtype_base assert-bnot neg_assert_of_eq_atom int_subtype_base assert_wf DVp_Array?_wf C_DVALUEp_wf
\mforall{}[v:C\_DVALUEp()]
    DVp\_Array-arr(v)  \mmember{}  \{DVp\_Array-lower(v)..DVp\_Array-upper(v)\msupminus{}\}  {}\mrightarrow{}  C\_DVALUEp() 
    supposing  \muparrow{}DVp\_Array?(v)



Date html generated: 2015_07_17-AM-07_44_46
Last ObjectModification: 2015_01_27-AM-09_45_34

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