Step
*
1
of Lemma
sublist_filter
1. [T] : Type
⊢ ∀P:T ⟶ 𝔹. ([] ⊆ [] 
⇐⇒ [] ⊆ [] ∧ (∀x∈[].↑(P x)))
BY
{ Auto }
Latex:
Latex:
1.  [T]  :  Type
\mvdash{}  \mforall{}P:T  {}\mrightarrow{}  \mBbbB{}.  ([]  \msubseteq{}  []  \mLeftarrow{}{}\mRightarrow{}  []  \msubseteq{}  []  \mwedge{}  (\mforall{}x\mmember{}[].\muparrow{}(P  x)))
By
Latex:
Auto
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