Step
*
1
of Lemma
Euclid-Prop28_1
1. e : EuclideanPlane
2. a : Point
3. b : Point
4. c : Point
5. d : Point
6. x : Point
7. y : Point
8. p : Point
9. Colinear(x;a;b)
10. Colinear(y;c;d)
11. a leftof yx
12. a-x-b
13. c leftof xy
14. c-y-d
15. p-x-y
16. bxp ≅a cyx
⊢ b # xp
BY
{ ((Assert a # xp BY Auto) THEN InstLemma `colinear-lsep` [⌜e⌝;⌜a⌝;⌜x⌝;⌜p⌝;⌜b⌝]⋅ THEN Auto) }
Latex:
Latex:
1. e : EuclideanPlane
2. a : Point
3. b : Point
4. c : Point
5. d : Point
6. x : Point
7. y : Point
8. p : Point
9. Colinear(x;a;b)
10. Colinear(y;c;d)
11. a leftof yx
12. a-x-b
13. c leftof xy
14. c-y-d
15. p-x-y
16. bxp \mcong{}\msuba{} cyx
\mvdash{} b \# xp
By
Latex:
((Assert a \# xp BY Auto) THEN InstLemma `colinear-lsep` [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}p\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{}]\mcdot{} THEN Auto)
Home
Index