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Proof step 7 from proof sqrt-exact-def (previous step)

even(dec.scale), isSquare(dec) ⊦ mkDecimal(sqrt(dec.int * 10 ^ (2 * abs(i))), dec.scale / 2 + abs(i)) = mkDecimal(sqrt(dec.int), dec.scale / 2)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ isSquare(dec) ↔ isSquare(dec.int) ∧ dec.scale % 2 = 0
Proof step 9:
even(dec.scale), isSquare(dec.int) ∧ dec.scale % 2 = 0 ⊦ mkDecimal(sqrt(dec.int * 10 ^ (2 * abs(i))), dec.scale / 2 + abs(i)) = mkDecimal(sqrt(dec.int), dec.scale / 2)

Rule argument

spec: inst: name: isSquare-isSquare seq: ⊦ isSquare(dec) ↔ isSquare(dec.int) ∧ dec.scale % 2 = 0 subst: [dec] → [dec] flags: rewrite, current

Additional information

Used terms: dec