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Theorem mod-mult-neg-01

⊦ 0 < j ∧ i ≤ 0 ∧ 0 ≤ i0 ∧ i0 < j → (j * i - i0) % j = ~ i0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 3
Used lemmas: mod-mult-neg,
Used spec theorems:
- Used simplifier rules: