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Step * 2 of Lemma dual-plane_wf


1. pg : ProjectivePlaneStructureComplete
2. BasicProjectiveGeometryAxioms(pg)
3. triangle-axiom1(pg)
4. triangle-axiom2(pg)
⊢ BasicProjectiveGeometryAxioms(dual-plane(pg))
BY
{ (ParallelOp 2
   THEN All (UnfoldpGeoAbbreviations)
   THEN (Trivial ORELSE (All (FoldpGeoAbbreviations) THEN Auto))
   THEN (InstHyp [⌜q⌝;⌜p⌝;⌜l⌝;⌜m⌝] 2⋅ THENA Auto)
   THEN ParallelLast
   THEN Auto) }

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Latex:

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Latex:

1.  pg  :  ProjectivePlaneStructureComplete
2.  BasicProjectiveGeometryAxioms(pg)
3.  triangle-axiom1(pg)
4.  triangle-axiom2(pg)
\mvdash{}  BasicProjectiveGeometryAxioms(dual-plane(pg))


By

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Latex:
(ParallelOp  2
  THEN  All  (UnfoldpGeoAbbreviations)
  THEN  (Trivial  ORELSE  (All  (FoldpGeoAbbreviations)  THEN  Auto))
  THEN  (InstHyp  [\mkleeneopen{}q\mkleeneclose{};\mkleeneopen{}p\mkleeneclose{};\mkleeneopen{}l\mkleeneclose{};\mkleeneopen{}m\mkleeneclose{}]  2\mcdot{}  THENA  Auto)
  THEN  ParallelLast
  THEN  Auto)

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