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Theorem abs-any-def
⊦ abs(mkDecimal(i, j)) = mkDecimal(abs(i), j)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
abs-neg
,
abs-not-neg
,
abs-pos
,
mult-abs
,
square-ls
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 11
Proof steps: 19
Used lemmas:
abs-def
,
Used spec theorems:
decimal
/
intvalue-base
decimal
/
scale-base
decimal
/
mkDecimal-scale-not-neg
decimal
/
mkDecimal-zero
decimal
/
mkDecimal-rec
int-div
/
modex
Used simplifier rules:
decimal
/
eq-same
int-div
/
abs-div10-le
int-abs
/
lels
intnat
/
labs
decimal
/
intvalue-zero
decimal
/
scale-zero
decimal
/
eq-zero
int-div
/
abs
int-div
/
div-mult-num
int-mult
/
one
int-mult
/
associativity
int-mult
/
commutativity
int-mult
/
abs-eqall
int-div
/
mod-zero-num