Step
*
1
1
1
of Lemma
rank-Ex1_wf
1. T : Type
2. t1 : RankEx1(T) List
3. ∀i:ℕ||t1||. (rank-Ex1(t1[i]) ∈ ℕ)
⊢ map(λu.rank-Ex1(u);t1) ∈ ℕ List
BY
{ (RWO "map-as-map-upto" 0 THEN Auto) }
Latex:
1.  T  :  Type
2.  t1  :  RankEx1(T)  List
3.  \mforall{}i:\mBbbN{}||t1||.  (rank-Ex1(t1[i])  \mmember{}  \mBbbN{})
\mvdash{}  map(\mlambda{}u.rank-Ex1(u);t1)  \mmember{}  \mBbbN{}  List
By
(RWO  "map-as-map-upto"  0  THEN  Auto)
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