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Proof step 10 from proof test-sqrt-04 (previous step)

even(mkDecimal(29, 4).scale) ⊦ mkDecimal(sqrt(mkDecimal(29, 4).int * 1000000), mkDecimal(29, 4).scale / 2 + 3) = mkDecimal(5385, 5)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).scale = abs(j)
Proof step 12:
¬(29 % 10 = 0 ∧ 4 ≠ 0 ∧ 29 ≠ 0), even(abs(4)) ⊦ mkDecimal(sqrt(mkDecimal(29, 4).int * 1000000), abs(4) / 2 + 3) = mkDecimal(5385, 5)

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] → [4, 29] flags: rewrite

Additional information

Used terms: 4, 29