Step
*
2
1
1
of Lemma
geo-zero-length-iff
.....antecedent.....
1. e : BasicGeometry
2. a : Point
3. b : Point
4. a ≡ b
⊢ extend OX by ab ≡ X
BY
{ (GeneralizeGeoExtends [`z'] THEN Auto) }
1
1. e : BasicGeometry
2. a : Point
3. b : Point
4. a ≡ b
5. z : {x:Point| O_X_x ∧ Xx ≅ ab}
6. Xz ≅ ab
7. O_X_z
⊢ z ≡ X
Latex:
Latex:
.....antecedent.....
1. e : BasicGeometry
2. a : Point
3. b : Point
4. a \mequiv{} b
\mvdash{} extend OX by ab \mequiv{} X
By
Latex:
(GeneralizeGeoExtends [`z'] THEN Auto)
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