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Proof step 5 from proof sqrt-exact-square (previous step)

mkDecimal(0, 0) ≤ dec0 ⊦ mkDecimal(sqrt((dec0 * dec0).int), (dec0 * dec0).scale / 2) = dec0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ mkDecimal(0, 0) ≤ dec → mkDecimal(sqrt((dec * dec).int), (dec * dec).scale / 2) = dec

Rule argument

spec: decimal-simple-ops inst: name: square-sqrt seq: ⊦ mkDecimal(0, 0) ≤ dec → mkDecimal(sqrt((dec * dec).int), (dec * dec).scale / 2) = dec subst: [dec] → [dec0] flags: rewrite

Additional information

Used terms: dec0