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Proof step 5 from proof square-sqrt-01 (previous step)

mkDecimal(sqrt((abs(dec) * abs(dec)).int), (abs(dec) * abs(dec)).scale / 2) = abs(dec) ⊦ mkDecimal(sqrt((dec * dec).int), (dec * dec).scale / 2) * mkDecimal(sqrt((dec * dec).int), (dec * dec).scale / 2) = dec * dec

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ abs(dec * dec0) = abs(dec) * abs(dec0)
Proof step 7:
mkDecimal(sqrt(abs(dec * dec).int), abs(dec * dec).scale / 2) = abs(dec) ⊦ mkDecimal(sqrt((dec * dec).int), (dec * dec).scale / 2) * mkDecimal(sqrt((dec * dec).int), (dec * dec).scale / 2) = dec * dec

Rule argument

spec: inst: name: mult-abs seq: ⊦ abs(dec * dec0) = abs(dec) * abs(dec0) subst: [dec0, dec] → [dec, dec] flags: rewrite, current

Additional information

Used terms: dec, dec