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Theorem square-sqrt-02
⊦ dec.scale % 2 = 0 ∧ isSquare(dec.int) → mkDecimal(sqrt(dec.int), dec.scale / 2) * mkDecimal(sqrt(dec.int), dec.scale / 2) = 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: 6
Proof steps: 11
Used lemmas:
mult-def-any
,
Used spec theorems:
int-square
/
isSquare-def
int-square
/
inverse-ii
int-div
/
modex
decimal
/
mkDecimal-selectors
decimal
/
mkDecimal-scale-not-neg
Used simplifier rules:
int-basic2
/
add-c
int-basic2
/
add-a
int-mult
/
add-mult-two
int-div
/
abs
int-mult
/
one
int-div
/
div-mult-num
int-mult
/
abs-eqall
int-mult
/
associativity
int-mult
/
commutativity
decimal
/
eq-same
int-mult
/
square-eq
int-abs
/
abs-01