---

Step * of Lemma l_contains-append4

∀[T:Type]. ∀A,B,C:T List.  (A ⊆ C ⇒ A ⊆ B @ C)
BY
{ (Unfold `l_contains` 0
   THEN Unfold `l_all` 0
   THEN RWO "member_append" 0
   THEN Auto
   THEN OrRight
   THEN Auto
   THEN BackThruSomeHyp
   THEN Auto) }

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Latex:

---

Latex:
\mforall{}[T:Type].  \mforall{}A,B,C:T  List.    (A  \msubseteq{}  C  {}\mRightarrow{}  A  \msubseteq{}  B  @  C)


By

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Latex:
(Unfold  `l\_contains`  0
  THEN  Unfold  `l\_all`  0
  THEN  RWO  "member\_append"  0
  THEN  Auto
  THEN  OrRight
  THEN  Auto
  THEN  BackThruSomeHyp
  THEN  Auto)

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