Step
*
of Lemma
existssetmem_wf
∀[A:coSet{i:l}]. ∀[P:{a:coSet{i:l}| (a ∈ A)} ⟶ ℙ]. (∃a∈A.P[a] ∈ ℙ)
BY
{ (ProveWfLemma THEN MemTypeCD THEN Auto THEN RWO "setmem-iff" 0 THEN Auto) }
Latex:
Latex:
\mforall{}[A:coSet\{i:l\}]. \mforall{}[P:\{a:coSet\{i:l\}| (a \mmember{} A)\} {}\mrightarrow{} \mBbbP{}]. (\mexists{}a\mmember{}A.P[a] \mmember{} \mBbbP{})
By
Latex:
(ProveWfLemma THEN MemTypeCD THEN Auto THEN RWO "setmem-iff" 0 THEN Auto)
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