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Proof step 10 from proof square-scale (previous step)

¬ ¬((i * i) % 10 = 0 ∧ 2 * abs(i0) ≠ 0 ∧ i * i ≠ 0), ∀ i1, i0. i→n(i1) < i→n(i) → true → even(mkDecimal(i1 * i1, 2 * abs(i0)).scale) ⊦ even(mkDecimal(i * i, 2 * abs(i0)).scale)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: abs-07: ⊦ abs(i) = 0 ↔ i = 0; from specification int-abs%two-zero: ⊦ 2 * i = 0 ↔ i = 0; from specification int-mult%square-zero: ⊦ i * i = 0 ↔ i = 0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%mod-square-10: ⊦ (i * i) % 10 = 0 ↔ i % 10 = 0; from specification int-gcd