Metamath Proof Explorer


Table of Contents - 20.43.23.3. Spheres and lines in real Euclidean spaces

  1. cline
  2. csph
  3. df-line
  4. df-sph
  5. lines
  6. line
  7. rrxlines
  8. rrxline
  9. rrxlinesc
  10. rrxlinec
  11. eenglngeehlnmlem1
  12. eenglngeehlnmlem2
  13. eenglngeehlnm
  14. rrx2line
  15. rrx2vlinest
  16. rrx2linest
  17. rrx2linesl
  18. rrx2linest2
  19. elrrx2linest2
  20. spheres
  21. sphere
  22. rrxsphere
  23. 2sphere
  24. 2sphere0
  25. line2ylem
  26. line2
  27. line2xlem
  28. line2x
  29. line2y
  30. itsclc0lem1
  31. itsclc0lem2
  32. itsclc0lem3
  33. itscnhlc0yqe
  34. itschlc0yqe
  35. itsclc0yqe
  36. itsclc0yqsollem1
  37. itsclc0yqsollem2
  38. itsclc0yqsol
  39. itscnhlc0xyqsol
  40. itschlc0xyqsol1
  41. itschlc0xyqsol
  42. itsclc0xyqsol
  43. itsclc0xyqsolr
  44. itsclc0xyqsolb
  45. itsclc0
  46. itsclc0b
  47. itsclinecirc0
  48. itsclinecirc0b
  49. itsclinecirc0in
  50. itsclquadb
  51. itsclquadeu
  52. 2itscplem1
  53. 2itscplem2
  54. 2itscplem3
  55. 2itscp
  56. itscnhlinecirc02plem1
  57. itscnhlinecirc02plem2
  58. itscnhlinecirc02plem3
  59. itscnhlinecirc02p
  60. inlinecirc02plem
  61. inlinecirc02p
  62. inlinecirc02preu