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• Montgomery

Montgomery-neg-inverse

Property that negation is left and right inverse for addition.

Definitions and Theorems

Theorem: montgomery-add-of-neg-left

(defthm montgomery-add-of-neg-left
  (implies (point-on-montgomery-p point curve)
           (equal (montgomery-add (montgomery-neg point curve)
                                  point curve)
                  (montgomery-zero))))

Theorem: montgomery-add-of-neg-right

(defthm montgomery-add-of-neg-right
  (implies (point-on-montgomery-p point curve)
           (equal (montgomery-add point (montgomery-neg point curve)
                                  curve)
                  (montgomery-zero))))