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Theorem mod-sub-01

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

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: 3
Proof steps: 3
Used lemmas: mod-neg-01, mod-add-01,
Used spec theorems:
- Used simplifier rules: