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Step * of Lemma all_safety

∀[T,I:Type]. ∀[P:I ⟶ (T List) ⟶ ℙ].  ((∀x:I. safety(T;L.P[x;L])) ⇒ safety(T;L.∀x:I. P[x;L]))
BY
{ (Unfold `safety` 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}[T,I:Type].  \mforall{}[P:I  {}\mrightarrow{}  (T  List)  {}\mrightarrow{}  \mBbbP{}].    ((\mforall{}x:I.  safety(T;L.P[x;L]))  {}\mRightarrow{}  safety(T;L.\mforall{}x:I.  P[x;L]))


By

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Latex:
(Unfold  `safety`  0  THEN  Auto)

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