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Theorem mod-mult

n ≠ 0 ⊦ (m + n0 * n) % n = m % n

Type: A user defined theorem
Validity: The proof is valid.
Features: simp,
Comment:
Used by: mod-add, mod-eq-01, mod-mult-01,
Used by units in proved state: nat-pair, nat-prime, intnat,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 7
Used lemmas: mod-once,
Used spec theorems:
- Used simplifier rules: