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Theorem abs-shift

⊦ j ≠ 0 → abs(i % j) = abs(i) % abs(j)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: mod-div-zero, mod-nls-04,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 14
Used lemmas: mod-ngez-01, mod-ngez, mod-zero-06, mod-neg, mod-zero-01, mod-neg-01, mod-less-01,
Used spec theorems:
- int-abs/Abs-pos
- int-abs/Abs-neg
Used simplifier rules: