Step
*
of Lemma
bm_unionWith_ins_wf
∀[T,Key:Type]. ∀[compare:bm_compare(Key)]. ∀[key:Key]. ∀[x:T]. ∀[m:binary-map(T;Key)]. ∀[f:T ─→ T ─→ T].
(bm_unionWith_ins(compare;f;key;x;m) ∈ binary-map(T;Key))
BY
{ ProveWfLemma }
Latex:
\mforall{}[T,Key:Type]. \mforall{}[compare:bm\_compare(Key)]. \mforall{}[key:Key]. \mforall{}[x:T]. \mforall{}[m:binary-map(T;Key)]. \mforall{}[f:T
{}\mrightarrow{} T
{}\mrightarrow{} T].
(bm\_unionWith\_ins(compare;f;key;x;m) \mmember{} binary-map(T;Key))
By
ProveWfLemma
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