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Proof step 3 from proof cond-01 (
previous step
)
m < m / n * n ⊦ m / n = 0, n = 0
User applied rule insert lemma
And obtained the following new goals
Proof step 4
:
n ≠ 0 ⊦ m / n * n ≤ m
Rule argument
spec: <toplevel> name: cond seq: n ≠ 0 ⊦ m / n * n ≤ m subst: [n, m] → [n, m]
Additional information
Used simplifier rules: ⊦ m < n → (n ≤ m ↔ false); (s) Used terms: n, m