OAI/Analysis/LipschitzHilbert/Geometry/SlopeRectangle.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

An actual Euclidean rectangle enclosing a clipped thin slope parallelogram, with the explicit lengths used in the popular-top proof.

  1. theorem OAI.LipschitzHilbert.slope_rectangle_short_le_long line 13
  2. def OAI.LipschitzHilbert.slopeRectangle line 26
  3. theorem OAI.LipschitzHilbert.mem_slopeRectangle line 34
  4. theorem OAI.LipschitzHilbert.slope_rectangle_area_le line 66
  5. theorem OAI.LipschitzHilbert.slope_rectangle_long_le line 86
  6. theorem OAI.LipschitzHilbert.slope_rectangle_short_ge line 101
  7. theorem OAI.LipschitzHilbert.slope_rectangle_aperture_ge line 112
  8. theorem OAI.LipschitzHilbert.volume_slopeRectangle_le line 125