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

∀[T:Type]. ∀L2,L1:T List.  (L1 ⊆ L2 ⇐⇒ sub-co-list(T;L1;L2))
BY
{ InductionOnList }

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

2
1. [T] : Type
2. u : T
3. v : T List
4. ∀L1:T List. (L1 ⊆ v ⇐⇒ sub-co-list(T;L1;v))
⊢ ∀L1:T List. (L1 ⊆ [u / v] ⇐⇒ sub-co-list(T;L1;[u / v]))

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}L2,L1:T  List.    (L1  \msubseteq{}  L2  \mLeftarrow{}{}\mRightarrow{}  sub-co-list(T;L1;L2))


By

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Latex:
InductionOnList

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