Step 
*
 of Lemma 
in-bar_wf
∀[T:Type]. ∀[b:T].  (in-bar(b) ∈ bar-base(T))
BY
 
{ (ProveWfLemma THEN SubsumeC ⌜T + bar-base(T)⌝⋅ THEN Auto) }
 
Latex: 
Latex:
\mforall{}[T:Type].  \mforall{}[b:T].    (in-bar(b)  \mmember{}  bar-base(T))
 By 
Latex:
(ProveWfLemma  THEN  SubsumeC  \mkleeneopen{}T  +  bar-base(T)\mkleeneclose{}\mcdot{}  THEN  Auto)
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