Step
*
1
1
1
1
2
2
of Lemma
geo-midpoint-implies-between
1. e : BasicGeometry
2. a : Point
3. b : Point
4. m : Point
5. a ≠ b
6. a=m=b
7. a ≠ m
8. b ≠ m
9. x : Point
10. mx ≅ mb
11. m ≠ b
12. a-m-x
13. a=m=x
14. x ≡ b
⊢ a-m-b
BY
{ (gEliminatePoint' (-1) THEN Auto) }
Latex:
Latex:
1. e : BasicGeometry
2. a : Point
3. b : Point
4. m : Point
5. a \mneq{} b
6. a=m=b
7. a \mneq{} m
8. b \mneq{} m
9. x : Point
10. mx \00D0 mb
11. m \mneq{} b
12. a-m-x
13. a=m=x
14. x \mequiv{} b
\mvdash{} a-m-b
By
Latex:
(gEliminatePoint' (-1) THEN Auto)
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