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Theorem mod-zero-03
0 < j, 0 ≤ i, i < j ⊦ i % j = i
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
mod-four
,
mod-zero-05
,
modmod-pos
,
Used by units in proved state:
int-pot
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas:
div-elim-pos
,
Used spec theorems:
Used simplifier rules:
int-basic2
/
eq
int-mult
/
zero-neq-01
int-mult
/
associativity
int-mult
/
commutativity
int-basic2
/
add-a
int-basic2
/
add-c
int-mult
/
zero-ge-add
int-abs
/
lels-02
int-mult
/
ls-add
int-abs
/
lels-03
int-abs
/
zero-gels-04