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Theorem mod-add-01

⊦ 0 < i ∧ j < 0 ∧ i ≤ abs(j) → (i + j) % i = j % i

Type: A user defined theorem
Validity: The proof is valid.
Features: simp,
Comment:
Used by: mod-sub-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 8
Used lemmas: mod-zero-04, div-elim-negpos,
Used spec theorems:
- int-mult/modeqp-01
Used simplifier rules: