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Step * of Lemma simple-comb-1-disjoint-classrel

∀[Info,T,A,B:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[f:A ⟶ T].
  (disjoint-classrel(es;A;X;B;Y) ⇒ disjoint-classrel(es;T;lifting-1(f)|X|;B;Y))
BY
{ ((UnivCD THENA MaAuto)
   THEN All (Unfold `disjoint-classrel`)
   THEN Auto
   THEN (InstHyp [⌜e⌝] (-2)⋅ THENA Auto)
   THEN D (-1)
   THEN Try (Complete ((OrRight THEN Auto)))
   THEN OrLeft
   THEN Auto
   THEN (D 0 THENA Auto)
   THEN MaUseClassRel (-1)
   THEN InstHyp [⌜b⌝] (-5)⋅
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[Info,T,A,B:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(A)].  \mforall{}[Y:EClass(B)].  \mforall{}[f:A  {}\mrightarrow{}  T].
    (disjoint-classrel(es;A;X;B;Y)  {}\mRightarrow{}  disjoint-classrel(es;T;lifting-1(f)|X|;B;Y))


By

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Latex:
((UnivCD  THENA  MaAuto)
  THEN  All  (Unfold  `disjoint-classrel`)
  THEN  Auto
  THEN  (InstHyp  [\mkleeneopen{}e\mkleeneclose{}]  (-2)\mcdot{}  THENA  Auto)
  THEN  D  (-1)
  THEN  Try  (Complete  ((OrRight  THEN  Auto)))
  THEN  OrLeft
  THEN  Auto
  THEN  (D  0  THENA  Auto)
  THEN  MaUseClassRel  (-1)
  THEN  InstHyp  [\mkleeneopen{}b\mkleeneclose{}]  (-5)\mcdot{}
  THEN  Auto)

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