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Theorem and-size-one-01
⊦ bits.first ∧ # bits = # bits1 + 1 ∧ bits1 ≠ [] ∧ bits0 ≠ [] → bitsand(bits, bits0 + bits1) = bits0 + bitsand(bits.rest, bits1)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
bor-2pot-plus
,
bor-2pot-plus-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 15
Used lemmas:
and-one
,
and-onel-01
,
and-rec
,
Used spec theorems:
Used simplifier rules:
nat-basic2
/
s
nat-basic1
/
ref-1
list
/bitlista/
app-03
list-last
/bitlista/
last-def
list-last
/bitlista/
butlast-def
list
/bitlista/
app-01
list
/bitlista/
Nil
list
/bitlista/
e-02
list-last
/bitlista/
last-elim
list-last
/bitlista/
l-02
list
/bitlista/
Last
list-last
/bitlista/
lapp
list-last
/bitlista/
bapp
nat-basic1
/
one
nat-basic2
/
one-03
list-data
/bitlista/
l
nat-basic2
/
z-01
nat-basic2
/
one
list-data
/bitlista/
lf-01
list
/bitlista/
app
list-data
/bitlista/
eq-one
list
/bitlista/
e-01
nat-basic2
/
eq-01
list
/bitlista/
a
list
/bitlista/
len-02
list
/bitlista/
len
list
/bitlista/
c
list-data
/bitlista/
size-01
nat-basic2
/
oz
nat-basic2
/
a
nat-basic2
/
c
list-data
/bitlista/
elim-list-c