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Proof step 7 from proof test-sqrt-02 (previous step)

even(mkDecimal(2, 0).scale) ⊦ mkDecimal(sqrt(mkDecimal(2, 0).int * 10000), mkDecimal(2, 0).scale / 2 + 2) = mkDecimal(141, 2)

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:
¬(2 % 10 = 0 ∧ 0 ≠ 0 ∧ 2 ≠ 0), even(abs(0)) ⊦ mkDecimal(sqrt(mkDecimal(2, 0).int * 10000), abs(0) / 2 + 2) = mkDecimal(141, 2)

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] → [0, 2] flags: rewrite

Additional information

Used terms: 0, 2