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Proof step 1 from proof test-sqrt-03 (conclusion)

⊦ sqrt(mkDecimal(144, 1), 3) = mkDecimal(37947, 4)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ odd(dec_i.scale) → sqrt(dec_i, i) = mkDecimal(sqrt(dec_i.int * 10 ^ (2 * abs(i) + 1)), (dec_i.scale + 1) / 2 + abs(i))
Proof step 3:
¬ odd(mkDecimal(144, 1).scale) ⊦ sqrt(mkDecimal(144, 1), 3) = mkDecimal(37947, 4)
Proof step 6:
odd(mkDecimal(144, 1).scale) ⊦ mkDecimal(sqrt(mkDecimal(144, 1).int * 10 ^ (2 * abs(3) + 1)), (mkDecimal(144, 1).scale + 1) / 2 + abs(3)) = mkDecimal(37947, 4)

Rule argument

spec: inst: name: sqrt-odd-precision-def seq: ⊦ odd(dec_i.scale) → sqrt(dec_i, i) = mkDecimal (sqrt(dec_i.int * 10 ^ (2 * abs(i) + 1)), (dec_i.scale + 1) / 2 + abs(i)) subst: [i, dec_i] → [3, mkDecimal(144, 1)] flags: rewrite, current

Additional information

Used terms: 3, mkDecimal(144, 1)