---

Step * 1 of Lemma pgeo-plsep_functionality


1. g : ProjectivePlane
2. a : Point
3. a1 : Point
4. l : Line
5. l1 : Line
6. a ≡ a1
7. l ≡ l1
8. a ≠ l
⊢ a1 ≠ l1
BY
{ ((InstLemma `pgeo-leq-preserves-plsep` [⌜g⌝;⌜a⌝;⌜l⌝;⌜l1⌝]⋅ THEN Auto)
   THEN InstLemma `pgeo-peq-preserves-plsep` [⌜g⌝;⌜a⌝;⌜a1⌝;⌜l1⌝]⋅
   THEN Auto) }

---

Latex:

---

Latex:

1.  g  :  ProjectivePlane
2.  a  :  Point
3.  a1  :  Point
4.  l  :  Line
5.  l1  :  Line
6.  a  \mequiv{}  a1
7.  l  \mequiv{}  l1
8.  a  \mneq{}  l
\mvdash{}  a1  \mneq{}  l1


By

---

Latex:
((InstLemma  `pgeo-leq-preserves-plsep`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}l\mkleeneclose{};\mkleeneopen{}l1\mkleeneclose{}]\mcdot{}  THEN  Auto)
  THEN  InstLemma  `pgeo-peq-preserves-plsep`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}a1\mkleeneclose{};\mkleeneopen{}l1\mkleeneclose{}]\mcdot{}
  THEN  Auto)

---

Home Index