Step
*
of Lemma
per-exists_wf
∀[A:Type]. ∀[B:type-function{i:l}(A)].  (per-exists(A;a.B[a]) ∈ Type)
BY
{ (Auto THEN Unfold `per-exists` 0 THEN InstLemma `per-product_wf` [⌜A⌝;⌜B⌝]⋅ THEN Auto) }
Latex:
Latex:
\mforall{}[A:Type].  \mforall{}[B:type-function\{i:l\}(A)].    (per-exists(A;a.B[a])  \mmember{}  Type)
By
Latex:
(Auto  THEN  Unfold  `per-exists`  0  THEN  InstLemma  `per-product\_wf`  [\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}B\mkleeneclose{}]\mcdot{}  THEN  Auto)
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