Step
*
of Lemma
sigmaset_wf
∀[A:coSet{i:l}]. ∀[B:{a:coSet{i:l}| (a ∈ A)} ⟶ coSet{i:l}]. (Σa:A.B[a] ∈ coSet{i:l})
BY
{ (Auto THEN (coSetD 1 THEN D 1) THEN Unfold `sigmaset` 0 THEN Reduce 0 THEN Auto) }
Latex:
Latex:
\mforall{}[A:coSet\{i:l\}]. \mforall{}[B:\{a:coSet\{i:l\}| (a \mmember{} A)\} {}\mrightarrow{} coSet\{i:l\}]. (\mSigma{}a:A.B[a] \mmember{} coSet\{i:l\})
By
Latex:
(Auto THEN (coSetD 1 THEN D 1) THEN Unfold `sigmaset` 0 THEN Reduce 0 THEN Auto)
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