Step
*
of Lemma
subtract-wf-bar-int
∀[x,y:bar(ℤ)].  (x - y ∈ bar(ℤ))
BY
{ ((UnivCD THENA Auto)
   THEN (InstLemma `subtype_bar2` [⌜ℤ⌝;⌜Base⌝]⋅ THENA (Auto THEN OrRight THEN Auto))
   THEN InstLemma `bar-base` []
   THEN BLemma `subtract-wf-bar`
   THEN Auto) }
Latex:
Latex:
\mforall{}[x,y:bar(\mBbbZ{})].    (x  -  y  \mmember{}  bar(\mBbbZ{}))
By
Latex:
((UnivCD  THENA  Auto)
  THEN  (InstLemma  `subtype\_bar2`  [\mkleeneopen{}\mBbbZ{}\mkleeneclose{};\mkleeneopen{}Base\mkleeneclose{}]\mcdot{}  THENA  (Auto  THEN  OrRight  THEN  Auto))
  THEN  InstLemma  `bar-base`  []
  THEN  BLemma  `subtract-wf-bar`
  THEN  Auto)
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