---

Step * 1 1 1 1 1 of Lemma eu-sum-eq-x

.....assertion..... 
1. e : EuclideanPlane@i'
2. a : Point@i
3. b : Point@i
4. c : Point@i
5. d : Point@i
6. X = |ab| + |cd| ∈ {p:Point| O_X_p} @i
7. |ab| ≤ X
8. |ab| = |aa| ∈ {p:Point| O_X_p}  supposing |ab| ≤ |aa|
9. |ab| ≤ |aa| supposing |ab| = |aa| ∈ {p:Point| O_X_p} 
⊢ X = |aa| ∈ {p:Point| O_X_p} 
BY
{ Auto }

---

Latex:

---

Latex:
.....assertion..... 
1.  e  :  EuclideanPlane@i'
2.  a  :  Point@i
3.  b  :  Point@i
4.  c  :  Point@i
5.  d  :  Point@i
6.  X  =  |ab|  +  |cd|@i
7.  |ab|  \mleq{}  X
8.  |ab|  =  |aa|  supposing  |ab|  \mleq{}  |aa|
9.  |ab|  \mleq{}  |aa|  supposing  |ab|  =  |aa|
\mvdash{}  X  =  |aa|


By

---

Latex:
Auto

---

Home Index