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Theorem div-mod

⊦ 0 < j ∧ 0 ≤ i ∧ 0 ≤ i0 → (j | i - i0 ↔ i % j = i0 % j)

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: 5
Proof steps: 5
Used lemmas: div-neg, div-mod-01,
Used spec theorems:
- Used simplifier rules: