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Theorem auxexdivmod-01
0 < j, 0 ≤ i ⊦ ∃ i0. i0 * j ≤ i ∧ i < (i0 + 1) * j ∧ 0 ≤ i0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
exdivmodpos
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas:
one-01
,
one
,
zero-le
,
le-same
,
commutativity
,
associativity
,
zero-left
,
auxexdivmod
,
Used spec theorems:
Used simplifier rules:
int-abs
/
forward-le-05
int-abs
/
forward-le-01
int-basic2
/
add-zero-rev
int-abs
/
bet
int-abs
/
succ-02
int-abs
/
anti
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
zero-gels-04
int-abs
/
ler
int-abs
/
lels