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Proof step 1 from proof test-sqrt-02 (conclusion)

⊦ sqrt(mkDecimal(2, 0), 2) = mkDecimal(141, 2)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ even(dec_i.scale) → sqrt(dec_i, i) = mkDecimal(sqrt(dec_i.int * 10 ^ (2 * abs(i))), dec_i.scale / 2 + abs(i))
Proof step 3:
¬ even(mkDecimal(2, 0).scale) ⊦ sqrt(mkDecimal(2, 0), 2) = mkDecimal(141, 2)
Proof step 6:
even(mkDecimal(2, 0).scale) ⊦ mkDecimal(sqrt(mkDecimal(2, 0).int * 10 ^ (2 * abs(2))), mkDecimal(2, 0).scale / 2 + abs(2)) = mkDecimal(141, 2)

Rule argument

spec: inst: name: sqrt-even-precision-def seq: ⊦ even(dec_i.scale) → sqrt(dec_i, i) = mkDecimal (sqrt(dec_i.int * 10 ^ (2 * abs(i))), dec_i.scale / 2 + abs(i)) subst: [i, dec_i] → [2, mkDecimal(2, 0)] flags: rewrite, current

Additional information

Used terms: 2, mkDecimal(2, 0)