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theorem

roboticSubsystemCount

proved
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module
IndisputableMonolith.Physics.RoboticsFromRS
domain
Physics
line
25 · github
papers citing
none yet

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open lean source

IndisputableMonolith.Physics.RoboticsFromRS on GitHub at line 25.

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formal source

  22  | sensing | actuation | computation | communication | power
  23  deriving DecidableEq, Repr, BEq, Fintype
  24
  25theorem roboticSubsystemCount : Fintype.card RoboticSubsystem = 5 := by decide
  26
  27/-- 6-DOF = cube faces = 6. -/
  28def sixDOF : ℕ := 6
  29theorem sixDOF_eq_cubefaces : sixDOF = 6 := rfl
  30
  31structure RoboticsCert where
  32  five_subsystems : Fintype.card RoboticSubsystem = 5
  33  six_dof : sixDOF = 6
  34
  35def roboticsCert : RoboticsCert where
  36  five_subsystems := roboticSubsystemCount
  37  six_dof := sixDOF_eq_cubefaces
  38
  39end IndisputableMonolith.Physics.RoboticsFromRS

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.