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Step * 1 1 of Lemma sublist-iff-sub-co-list

.....assertion..... 
1. [T] : Type
⊢ ∀L1:T List. (L1 ⊆ [] ⇐⇒ sub-co-list(T;L1;()))
BY
{ InductionOnList }

1
1. [T] : Type
⊢ [] ⊆ [] ⇐⇒ sub-co-list(T;[];())

2
1. [T] : Type
2. u : T
3. v : T List
4. v ⊆ [] ⇐⇒ sub-co-list(T;v;())
⊢ [u / v] ⊆ [] ⇐⇒ sub-co-list(T;[u / v];())

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Latex:

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Latex:
.....assertion..... 
1.  [T]  :  Type
\mvdash{}  \mforall{}L1:T  List.  (L1  \msubseteq{}  []  \mLeftarrow{}{}\mRightarrow{}  sub-co-list(T;L1;()))


By

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Latex:
InductionOnList

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