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Theorem bcompl-size-01
⊦ ¬ # int2bits(i) < # int2bits(bcompl(i))
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
bcompl-size
,
bor-bitlength
,
bxor-bitlength
,
Used by units in proved state:
byte
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas:
bcompl-def
,
Used spec theorems:
bitopsaux
/
bitsinvert-size
Used simplifier rules:
int2bits
/
int2bits-sgn
nat-basic1
/
ref-1
bitopsaux
/
sgn-empty-01
int2bits
/
bits2bits-def
bitopsaux
/
inv-empty
int2bits
/
int2bits-not-empty
list-data
/bitlista/
l
nat-basic1
/
f