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Theorem modmod-ma-01

0 < j ⊦ 0 ≤ i ∧ 0 ≤ i0 ∧ 0 ≤ j0 → (i % j * i0 + j0) % j = (i * i0 + j0) % 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: 2
Proof steps: 3
Used lemmas: mod-shift, modmod-add, mod-zero, modmod-add-01,
Used spec theorems:
- Used simplifier rules: