---

Step * of Lemma pgeo-triangle-axiom1-sym

∀g:ProjectivePlane. ∀a,b,c:Point. ∀s:b ≠ a. ∀s1:a ≠ c.  (c ≠ b ∨ a ⇒ b ≠ a ∨ c)
BY
{ (Auto THEN InstLemma `use-triangle-axiom1` [⌜g⌝;⌜b⌝;⌜a⌝;⌜c⌝;⌜s⌝;⌜s1⌝]⋅ THEN Auto) }

---

Latex:

---

Latex:
\mforall{}g:ProjectivePlane.  \mforall{}a,b,c:Point.  \mforall{}s:b  \mneq{}  a.  \mforall{}s1:a  \mneq{}  c.    (c  \mneq{}  b  \mvee{}  a  {}\mRightarrow{}  b  \mneq{}  a  \mvee{}  c)


By

---

Latex:
(Auto  THEN  InstLemma  `use-triangle-axiom1`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}s\mkleeneclose{};\mkleeneopen{}s1\mkleeneclose{}]\mcdot{}  THEN  Auto)

---

Home Index