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Proof step 24 from proof divide-by-10 (previous step)

¬(0 < 524288 ∧ 0 ≤ 52429 * j + 2 * i0 ∧ 52429 * j + 2 * i0 < 524288), 0 ≤ j, 0 ≤ i0, j < 10, i0 * 10 + j ≤ 65536, 0 ≤ 52429 * j + 2 * i0 ⊦ (52429 * j + 2 * i0) / 524288 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j;% ⊦ 0 < i ∧ 0 < j → (i / j = 0 ↔ i < j);% ⊦ i ≤ j ∧ 0 < i → 0 < j; (forward)% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false);% ⊦ i * j = j * i;% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ ¬ i ≤ j ↔ j < i;