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Theorem modlep
j * i ≤ j * i0 + j0, 0 ≤ j0, j0 < j ⊦ i ≤ i0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
le-two
,
modlep-01
,
square-le-06
,
Used by units in proved state:
int-pot
,
int-div
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas:
modlsp
,
eq-pos
,
modeqp
,
commutativity
,
associativity
,
le-pos
,
Used spec theorems:
Used simplifier rules:
int-abs
/
forward-le-01
int-abs
/
forward-le-05
int-abs
/
lels-01
int-abs
/
ler
int-basic2
/
add-zero-rev
int-basic2
/
add-a
int-basic2
/
add-c
int-basic1
/
irref
int-abs
/
lels-02
int-abs
/
lels-03