---

Step * 1 of Lemma eu-colinear-trivial


1. e : EuclideanPlane@i'
2. a : Point@i
3. b : Point@i
4. ¬(a = b ∈ Point)@i
⊢ Colinear(a;b;b)
BY
{ (InstLemma `eu-colinear-def` [⌜e⌝;⌜a⌝;⌜b⌝;⌜b⌝]⋅ THENA Auto) }

1
1. e : EuclideanPlane@i'
2. a : Point@i
3. b : Point@i
4. ¬(a = b ∈ Point)@i
5. Colinear(a;b;b)
⇐⇒ (¬(a = b ∈ Point)) ∧ (¬((¬(b = a ∈ Point)) ∧ (¬(b = b ∈ Point)) ∧ (¬b-a-b) ∧ (¬a-b-b) ∧ (¬a-b-b)))
⊢ Colinear(a;b;b)

---

Latex:

---

Latex:

1.  e  :  EuclideanPlane@i'
2.  a  :  Point@i
3.  b  :  Point@i
4.  \mneg{}(a  =  b)@i
\mvdash{}  Colinear(a;b;b)


By

---

Latex:
(InstLemma  `eu-colinear-def`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{}]\mcdot{}  THENA  Auto)

---

Home Index