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Proof step 3 from proof mod-zero-one (previous step)

(i % j + i0 % j) / j ≥ 0, 0 ≤ i, 0 ≤ i0, 0 < j ⊦ (i % j + i0 % j) / j = 1, (i % j + i0 % j) / j = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
0 ≤ i, 0 ≤ i0, 0 < j, 0 < (i % j + i0 % j) / j ⊦ (i % j + i0 % j) / j = 1

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%ls-01: ⊦ i < j → ¬ j < i; from specification int-basic1%lst-01: ⊦ ¬ i < j → (i ≠ j ↔ j < i); from specification int-basic1%ge-def: ⊦ i ≥ j ↔ ¬ i < j; from specification int-abs