Step
*
3
1
1
2
of Lemma
geo-lt-angle-left
1. e : EuclideanPlane
2. a : Point
3. b : Point
4. x : Point
5. y : Point
6. x leftof ab
7. y leftof ab
8. y leftof xa
9. p : Point
10. Colinear(a;y;p)
11. x-p-b
12. out(a py)
13. yab ≅a pab
14. ¬out(a bx)
15. yab < bax
⊢ yab < xab
BY
{ (FLemma `geo-lt-angle-symm` [-1] THEN Auto) }
Latex:
Latex:
1. e : EuclideanPlane
2. a : Point
3. b : Point
4. x : Point
5. y : Point
6. x leftof ab
7. y leftof ab
8. y leftof xa
9. p : Point
10. Colinear(a;y;p)
11. x-p-b
12. out(a py)
13. yab \mcong{}\msuba{} pab
14. \mneg{}out(a bx)
15. yab < bax
\mvdash{} yab < xab
By
Latex:
(FLemma `geo-lt-angle-symm` [-1] THEN Auto)
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