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Theorem square-sqrt-01

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

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state: decimal-complex-ops,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 12
Used lemmas: square-abs, mult-c, mult-a, square-int-nlz, scale-abs, getint-abs, mult-abs, abs-not-neg, square-sqrt,
Used spec theorems:
- int-abs/Abs-pos
Used simplifier rules: