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Theorem mod-add-zero

⊦ 0 ≤ i ∧ 0 < j ∧ 0 ≤ i1 ∧ i % j + j * i1 = 0 → i1 = 0

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 14
Used lemmas: div-elim-pospos, mod-zero-01,
Used spec theorems:
- int-abs/gr-def
- int-basic2/zero-03
Used simplifier rules: