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Step * of Lemma assert-bl-all-2

∀[T:Type]. ∀[L:T List]. ∀[P:{x:T| (x ∈ L)}  ⟶ 𝔹].  uiff(↑(∀x∈L.P[x])_b;∀x:T. ((x ∈ L) ⇒ (↑P[x])))
BY
{ (InstLemma `assert-bl-all` []
   THEN RepeatFor 3 (ParallelLast')
   THEN (RWO "-1" 0 THENA Auto)
   THEN RWO "l_all_iff" 0
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[L:T  List].  \mforall{}[P:\{x:T|  (x  \mmember{}  L)\}    {}\mrightarrow{}  \mBbbB{}].    uiff(\muparrow{}(\mforall{}x\mmember{}L.P[x])\_b;\mforall{}x:T.  ((x  \mmember{}  L)  {}\mRightarrow{}  (\muparrow{}P[x])))


By

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Latex:
(InstLemma  `assert-bl-all`  []
  THEN  RepeatFor  3  (ParallelLast')
  THEN  (RWO  "-1"  0  THENA  Auto)
  THEN  RWO  "l\_all\_iff"  0
  THEN  Auto)

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