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


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

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

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

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Latex:

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Latex:

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


By

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Latex:
Assert  \mkleeneopen{}\mforall{}L1:T  List.  (L1  \msubseteq{}  []  \mLeftarrow{}{}\mRightarrow{}  sub-co-list(T;L1;()))\mkleeneclose{}\mcdot{}

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