Step
*
1
1
of Lemma
left-between-triangle2
1. e : EuclideanPlane
2. a : Point
3. x : Point
4. y : Point
5. p : Point
6. a leftof yx
7. x-p-a
8. a # xy
9. p leftof yx
⊢ a leftof yp
BY
{ (((Assert a # py BY (InstLemma `colinear-lsep` [⌜e⌝;⌜x⌝;⌜a⌝;⌜y⌝;⌜p⌝]⋅ THEN Auto)) THEN Thin 8) THEN D -1 THEN Auto) }
1
1. e : EuclideanPlane
2. a : Point
3. x : Point
4. y : Point
5. p : Point
6. a leftof yx
7. x-p-a
8. p leftof yx
9. a leftof py
⊢ a leftof yp
Latex:
Latex:
1. e : EuclideanPlane
2. a : Point
3. x : Point
4. y : Point
5. p : Point
6. a leftof yx
7. x-p-a
8. a \# xy
9. p leftof yx
\mvdash{} a leftof yp
By
Latex:
(((Assert a \# py BY (InstLemma `colinear-lsep` [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{};\mkleeneopen{}p\mkleeneclose{}]\mcdot{} THEN Auto)) THEN Thin 8)
THEN D -1
THEN Auto)
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