Step
*
of Lemma
member_upto2
∀n,i:ℕ.  (i ∈ upto(n)) supposing i < n
BY
{ (((Auto
     THEN (All (Unfold `l_member`))
     THEN ExRepD
     THEN Try (((InstConcl [⌜i⌝])⋅ THENA Auto))
     THEN (All (RWO "length_upto")))
    THENA Auto
    )
   THEN (InstLemma `select_upto` [⌜n⌝; ⌜i⌝])⋅
   THEN Auto) }
Latex:
Latex:
\mforall{}n,i:\mBbbN{}.    (i  \mmember{}  upto(n))  supposing  i  <  n
By
Latex:
(((Auto
      THEN  (All  (Unfold  `l\_member`))
      THEN  ExRepD
      THEN  Try  (((InstConcl  [\mkleeneopen{}i\mkleeneclose{}])\mcdot{}  THENA  Auto))
      THEN  (All  (RWO  "length\_upto")))
    THENA  Auto
    )
  THEN  (InstLemma  `select\_upto`  [\mkleeneopen{}n\mkleeneclose{};  \mkleeneopen{}i\mkleeneclose{}])\mcdot{}
  THEN  Auto)
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