Step
*
2
of Lemma
geo-out-iff-exists
1. e : BasicGeometry
2. p : Point
3. a : Point
4. b : Point
5. ∃c:Point. (p ≠ c ∧ a_p_c ∧ b_p_c)
6. p ≠ a
7. p ≠ b
⊢ out(p ab)
BY
{ ExRepD }
1
1. e : BasicGeometry
2. p : Point
3. a : Point
4. b : Point
5. c : Point
6. p ≠ c
7. a_p_c
8. b_p_c
9. p ≠ a
10. p ≠ b
⊢ out(p ab)
Latex:
Latex:
1. e : BasicGeometry
2. p : Point
3. a : Point
4. b : Point
5. \mexists{}c:Point. (p \mneq{} c \mwedge{} a\_p\_c \mwedge{} b\_p\_c)
6. p \mneq{} a
7. p \mneq{} b
\mvdash{} out(p ab)
By
Latex:
ExRepD
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