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Proof step 13 from proof square-sqrt-02 (previous step)

j * j = dec.int, dec.scale = j0 * 2 ⊦ mkDecimal(abs(j) * abs(j), 2 * abs(j0)) = dec

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 14:
⊦ dec = mkDecimal(dec.int, dec.scale)
Proof step 15:
dec = mkDecimal(dec.int, dec.scale), j * j = dec.int, dec.scale = j0 * 2 ⊦ mkDecimal(abs(j) * abs(j), 2 * abs(j0)) = dec

Rule argument

spec: decimal inst: name: mkDecimal-selectors seq: ⊦ dec = mkDecimal(dec.int, dec.scale) subst: [dec] → [dec] flags: []

Additional information

Used terms: dec