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Proof step 10 from proof test-sqrt-05 (previous step)

odd(mkDecimal(29, 5).scale) ⊦ mkDecimal(sqrt(mkDecimal(29, 5).int * 10000000), (mkDecimal(29, 5).scale + 1) / 2 + 3) = mkDecimal(17029, 6)

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 ∧ 5 ≠ 0 ∧ 29 ≠ 0), odd(abs(5)) ⊦ mkDecimal(sqrt(mkDecimal(29, 5).int * 10000000), (abs(5) + 1) / 2 + 3) = mkDecimal(17029, 6)

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] → [5, 29] flags: rewrite

Additional information

Used terms: 5, 29