Step
*
1
of Lemma
geo-line-sep-or-lemma
1. g : EuclideanParPlane
2. l : Line
3. m : Line
4. p : Line
5. ∀L,M,N:Line. (L \/ M
⇒ (L \/ N ∨ M \/ N))
6. l \/ m
7. l \/ p
⊢ geo-line-sep(g;p;l) ∨ geo-line-sep(g;p;m)
BY
{ (((OrLeft THEN Auto) THEN (InstLemma `geo-intersect-lines-iff` [⌜g⌝;⌜p⌝;⌜l⌝]⋅ THEN Auto) THEN D -2 THEN Auto)
THEN FLemma `geo-intersect-symmetry` [7]
THEN Auto) }
Latex:
Latex:
1. g : EuclideanParPlane
2. l : Line
3. m : Line
4. p : Line
5. \mforall{}L,M,N:Line. (L \mbackslash{}/ M {}\mRightarrow{} (L \mbackslash{}/ N \mvee{} M \mbackslash{}/ N))
6. l \mbackslash{}/ m
7. l \mbackslash{}/ p
\mvdash{} geo-line-sep(g;p;l) \mvee{} geo-line-sep(g;p;m)
By
Latex:
(((OrLeft THEN Auto)
THEN (InstLemma `geo-intersect-lines-iff` [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}p\mkleeneclose{};\mkleeneopen{}l\mkleeneclose{}]\mcdot{} THEN Auto)
THEN D -2
THEN Auto)
THEN FLemma `geo-intersect-symmetry` [7]
THEN Auto)
Home
Index