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Theorem le-2pot-01
⊦ 0 ≤ i ∧ 0 ≤ j → (j / 2 ≤ 2 ^ i ↔ j ≤ 2 ^ (i + 1) + 1)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 10
Used lemmas:
succ
,
ls-pos-2pot
,
Pot-pos
,
Used spec theorems:
int-mult
/
modlsp-01
int-mult
/
modlep-03
Used simplifier rules:
int-div
/
div-elim-pos
int-abs
/
forward-lels
int-mult
/
zero-ge-add
int-abs
/
forward-lele
int-abs
/
lels-04
int-basic2
/
pred
int-abs
/
mone-06
int-abs
/
numls-02
int-abs
/
anti
int-abs
/
forward-le-01
int-abs
/
zero-gels-04
int-basic2
/
ls-01
int-basic2
/
num-between
int-abs
/
absle
int-abs
/
numlelsdel
int-abs
/
lels
int-abs
/
forward-lsle
int-mult
/
mods-ls-04
int-basic1
/
irref
int-mult
/
associativity
int-abs
/
lels-01
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
lels-03
int-mult
/
commutativity