Step
*
of Lemma
dual-plane_wf
∀[pg:ProjectivePlane]. (dual-plane(pg) ∈ ProjectivePlane)
BY
{ (Auto THEN D -1 THEN MemTypeCD THEN Auto) }
1
1. pg : ProjectivePlaneStructureComplete
2. BasicProjectiveGeometryAxioms(pg)
3. triangle-axiom1(pg)
4. triangle-axiom2(pg)
⊢ dual-plane(pg) ∈ ProjectivePlaneStructureComplete
2
1. pg : ProjectivePlaneStructureComplete
2. BasicProjectiveGeometryAxioms(pg)
3. triangle-axiom1(pg)
4. triangle-axiom2(pg)
⊢ BasicProjectiveGeometryAxioms(dual-plane(pg))
3
1. pg : ProjectivePlaneStructureComplete
2. BasicProjectiveGeometryAxioms(pg)
3. triangle-axiom1(pg)
4. triangle-axiom2(pg)
5. BasicProjectiveGeometryAxioms(dual-plane(pg))
⊢ triangle-axiom1(dual-plane(pg))
4
1. pg : ProjectivePlaneStructureComplete
2. BasicProjectiveGeometryAxioms(pg)
3. triangle-axiom1(pg)
4. triangle-axiom2(pg)
5. BasicProjectiveGeometryAxioms(dual-plane(pg))
6. triangle-axiom1(dual-plane(pg))
⊢ triangle-axiom2(dual-plane(pg))
Latex:
Latex:
\mforall{}[pg:ProjectivePlane].  (dual-plane(pg)  \mmember{}  ProjectivePlane)
By
Latex:
(Auto  THEN  D  -1  THEN  MemTypeCD  THEN  Auto)
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