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Proof step 7 from proof test-sqrt-03 (previous step)

odd(mkDecimal(144, 1).scale) ⊦ mkDecimal(sqrt(mkDecimal(144, 1).int * 10000000), (mkDecimal(144, 1).scale + 1) / 2 + 3) = mkDecimal(37947, 4)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).scale = abs(j)
Proof step 9:
¬(144 % 10 = 0 ∧ 1 ≠ 0 ∧ 144 ≠ 0), odd(abs(1)) ⊦ mkDecimal(sqrt(mkDecimal(144, 1).int * 10000000), (abs(1) + 1) / 2 + 3) = mkDecimal(37947, 4)

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] → [1, 144] flags: rewrite

Additional information

Used terms: 1, 144