Step
*
of Lemma
b_all-wf2
∀[T:Type]. ∀[b:bag(T)]. ∀[P:{x:T| x ↓∈ b}  ⟶ ℙ].  (b_all(T;b;x.P[x]) ∈ ℙ)
BY
{ ProveWfLemma }
Latex:
Latex:
\mforall{}[T:Type].  \mforall{}[b:bag(T)].  \mforall{}[P:\{x:T|  x  \mdownarrow{}\mmember{}  b\}    {}\mrightarrow{}  \mBbbP{}].    (b\_all(T;b;x.P[x])  \mmember{}  \mBbbP{})
By
Latex:
ProveWfLemma
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