Nuprl Lemma : map-sig-find_wf

[Key,Value:Type]. ∀[m:map-sig{i:l}(Key;Value)].  (map-sig-find(m) ∈ Key ─→ map-sig-map(m) ─→ (Value?))


Proof




Definitions occuring in Statement :  map-sig-find: map-sig-find(m) map-sig-map: map-sig-map(m) map-sig: map-sig{i:l}(Key;Value) uall: [x:A]. B[x] unit: Unit member: t ∈ T function: x:A ─→ B[x] union: left right universe: Type
Lemmas :  subtype_rel_self valueall-type_wf deq_wf unit_wf2 bool_wf all_wf iff_wf assert_wf isl_wf not_wf equal_wf eqtt_to_assert eqff_to_assert bool_cases_sqequal subtype_base_sq bool_subtype_base assert-bnot bnot_wf iff_transitivity iff_weakening_uiff assert_of_band assert_of_bnot it_wf map-sig_wf
\mforall{}[Key,Value:Type].  \mforall{}[m:map-sig\{i:l\}(Key;Value)].
    (map-sig-find(m)  \mmember{}  Key  {}\mrightarrow{}  map-sig-map(m)  {}\mrightarrow{}  (Value?))



Date html generated: 2015_07_17-AM-08_22_11
Last ObjectModification: 2015_04_02-PM-05_43_38

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