Step
*
of Lemma
lookup-list-map-update_wf
∀[Key,Value:Type]. ∀[deqKey:EqDecider(Key)]. ∀[key:Key]. ∀[val:Value]. ∀[m:lookup-list-map-type(Key;Value)].
  (lookup-list-map-update(deqKey;key;val;m) ∈ lookup-list-map-type(Key;Value))
BY
{ ProveWfLemma }
Latex:
Latex:
\mforall{}[Key,Value:Type].  \mforall{}[deqKey:EqDecider(Key)].  \mforall{}[key:Key].  \mforall{}[val:Value].
\mforall{}[m:lookup-list-map-type(Key;Value)].
    (lookup-list-map-update(deqKey;key;val;m)  \mmember{}  lookup-list-map-type(Key;Value))
By
Latex:
ProveWfLemma
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