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Theorem div2-2pot-03
⊦ 0 < i ∧ 0 ≤ j → (j * 2 ^ i + 1) / 2 = j * 2 ^ (i - 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: 2
Proof steps: 6
Used lemmas:
two-lsz
,
Pot-pos
,
Used spec theorems:
int-div
/
div2-odd
Used simplifier rules:
int-abs
/
elim-sub
int-abs
/
lels-04
int-abs
/
mone-06
int-abs
/
numls-02
int-basic2
/
add-c
int-basic2
/
add-a
int-basic2
/
pred
int-div
/
mod-two-02
int-div
/
div-mult-03
int-mult
/
zero-ge-02
int-abs
/
lels-01
int-mult
/
associativity
int-mult
/
commutativity