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Theorem potex
n ≠ 0 ⊦ ∃ m. 2^ m ≤ n ∧ n < 2^(m + 1)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
lls
,
lls-01
,
lls-02
,
log2-elim
,
lzer
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 9
Proof steps: 16
Used lemmas:
Pot2-zero
,
zero
,
lemma-ax2
,
Used spec theorems:
nat-mult
/
mult-a
Used simplifier rules:
nat-basic
/
c
nat-basic
/
a
nat-basic
/
succ
nat-basic
/
oz
nat-mult
/
mult-c
nat-mult
/
mult-a
nat-mult
/
ls2-03
nat-mult
/
two-zero-01
nat
/
fle-01
nat-basic
/
f
nat-basic
/
refl-nat
nat-basic
/
s-04
nat
/
le-ls-simp
nat
/
lels-03
nat
/
le-one
nat
/
eqle-one
nat
/
les
nat
/
lels
nat-basic
/
l-02
nat
/
fle
nat-mult
/
ls-07
nat
/
le-def
nat
/
lep-02
nat-mult
/
ls-01
nat
/
succ-01
nat
/
le-num-02
nat-mult
/
rsucc-02