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Theorem countrefs-i2n
⊦ 0 ≤ i2 → i→n(1 + (i2 + 1) * countrefs(ints)) = 1 + i→n(i2 + 1) * i→n(countrefs(ints))
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
multi-at-other
,
multi-field
,
multi-fieldin
,
multi-in-other
,
multi-isarrayref
,
multi-length-first
,
multi-lengthin
,
multi-refin
,
multi-type-first
,
multi-typein
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas:
countrefs-not-zero
,
Used spec theorems:
intnat
/
add-01
int-mult
/
zero-ls-02
intnat
/
i2n-mult
Used simplifier rules:
nat-basic2
/
eq-01
int-abs
/
numadd-01
int-abs
/
numle-02
int-abs
/
numleledel-01
int-abs
/
zero-gels-01
int-abs
/
forward-le-02
int-abs
/
forward-lsle
int-abs
/
lels-01
int-abs
/
forward-le-01
nat-mult
/
mult-c
nat-mult
/
mult-a
nat-basic2
/
c
nat-basic2
/
a
nat-mult
/
rsucc-02
int-basic2
/
add-c
int-basic2
/
add-a
intnat
/
rax-04