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Proof step 19 from proof test-div-04 (previous step)

¬(45 % 10 = 0 ∧ 4 ≠ 0 ∧ 45 ≠ 0), div(mkDecimal(5540535, 4), mkDecimal(45, 4), 0) * mkDecimal(45, 4) = mkDecimal(5540535, 4) ⊦ mkDecimal(123123 * 45, mkDecimal(123123, 0).scale + mkDecimal(45, 4).scale) = mkDecimal(5540535, 4), div(mkDecimal(5540535, 4), mkDecimal(45, 4), 0) = mkDecimal(123123, 0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult