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Proof step 12 from proof test-sqrt-01 (previous step)

even(mkDecimal(144, 2).scale) ⊦ mkDecimal(sqrt(144), mkDecimal(144, 2).scale / 2) = mkDecimal(12, 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).scale = abs(j)
Proof step 14:
¬(144 % 10 = 0 ∧ 2 ≠ 0 ∧ 144 ≠ 0), even(abs(2)) ⊦ mkDecimal(sqrt(144), abs(2) / 2) = mkDecimal(12, 1)

Rule argument

spec: decimal inst: name: scale-base seq: ⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).scale = abs(j) subst: [j, i] → [2, 144] flags: rewrite

Additional information

Used terms: 2, 144