Step * of Lemma member_not_nil

[T:Type]. ∀[L:T List].  ¬(L [] ∈ (T List)) supposing ∃x:T. (x ∈ L)
BY
(Auto THEN (D (-1) THEN InstLemma `member_null` [⌜T⌝;⌜L⌝;⌜x⌝]⋅THEN Auto) }


Latex:


Latex:
\mforall{}[T:Type].  \mforall{}[L:T  List].    \mneg{}(L  =  [])  supposing  \mexists{}x:T.  (x  \mmember{}  L)


By


Latex:
(Auto  THEN  (D  (-1)  THEN  InstLemma  `member\_null`  [\mkleeneopen{}T\mkleeneclose{};\mkleeneopen{}L\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{}]\mcdot{})  THEN  Auto)




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