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Theorem log2-elim
m ≠ 0 ⊦ n = log2 m ↔ (∃ m0. m = 2^ n + m0 ∧ m0 < 2^ n)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 9
Used lemmas:
Log2def
,
zero
,
lemma-ax2
,
potex
,
Used spec theorems:
Used simplifier rules:
nat-mult
/
mult-c
nat-mult
/
mult-a
nat-mult
/
two-zero-01
nat
/
fle-01
nat-basic
/
f
nat-basic
/
c
nat-basic
/
a
nat-basic
/
succ
nat
/
eq-02
nat
/
le-def
nat
/
le-ls-simp
nat
/
ls-01
nat-mult
/
two-02
nat
/
lep
nat-mult
/
numeral-36
nat-mult
/
one