---

Step * of Lemma cs-considered-val_wf

∀[V:Type]. ∀[x:{x:consensus-state3(V)| ↑cs-is-considering(x)} ].  (cs-considered-val(x) ∈ V)
BY
{ (Auto
   THEN D -1
   THEN D -2
   THEN All (RepUR ``cs-is-considering``)
   THEN Auto
   THEN D -2
   THEN All (RepUR ``cs-considered-val``)
   THEN All Reduce⋅
   THEN Auto) }

---

Latex:


\mforall{}[V:Type].  \mforall{}[x:\{x:consensus-state3(V)|  \muparrow{}cs-is-considering(x)\}  ].    (cs-considered-val(x)  \mmember{}  V)


By

(Auto
  THEN  D  -1
  THEN  D  -2
  THEN  All  (RepUR  ``cs-is-considering``)
  THEN  Auto
  THEN  D  -2
  THEN  All  (RepUR  ``cs-considered-val``)
  THEN  All  Reduce\mcdot{}
  THEN  Auto)

---

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