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Proof step 7 from proof nummult-le (previous step)

0 < i, j0 < i, 0 ≤ i1, 0 ≤ j0, i * i0 ≤ i1 * i + j0 ⊦ i0 ≤ i1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
j0 < i, 0 < i, i1 < i0, 0 < i0, i * i0 ≤ i1 * i + j0, 0 ≤ j0, 0 ≤ i1 ⊦

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs% ⊦ i ≤ j ↔ ¬ j < i; (ss)