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    • Montgomery

    Montgomery-zero-identity

    Left and right identity properties of the neutral point.

    Definitions and Theorems

    Theorem: montgomery-add-of-montgomery-zero-left

    (defthm montgomery-add-of-montgomery-zero-left
      (equal (montgomery-add (montgomery-zero)
                             point curve)
             (point-fix point)))

    Theorem: montgomery-add-of-montgomery-zero-right

    (defthm montgomery-add-of-montgomery-zero-right
      (equal (montgomery-add point (montgomery-zero)
                             curve)
             (point-fix point)))