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Proof step 3 from proof test-sqrt-01 (previous step)

⊦ sqrt(mkDecimal(144, 2), 0) = mkDecimal(12, 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ 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 5:
¬ even(mkDecimal(144, 2).scale) ⊦ sqrt(mkDecimal(144, 2), 0) = mkDecimal(12, 1)
Proof step 8:
even(mkDecimal(144, 2).scale) ⊦ mkDecimal(sqrt(mkDecimal(144, 2).int * 10 ^ (2 * abs(0))), mkDecimal(144, 2).scale / 2 + abs(0)) = mkDecimal(12, 1)

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] → [0, mkDecimal(144, 2)] flags: rewrite, current

Additional information

Used terms: 0, mkDecimal(144, 2)