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Proof step 1 from proof mod-mod-less (conclusion)
⊦ j % i = 0 ∧ 0 < i ∧ 0 < j ∧ 0 ≤ i1 ∧ i < j → (i1 % j) % i = i1 % i
System applied rule normalize
And obtained the following new goals
Proof step 2
:
j % i = 0, 0 < i, 0 < j, i < j, 0 ≤ i1 ⊦ (i1 % j) % i = i1 % i
Rule argument
Additional information