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Theorem bitsor-sgn-in
⊦ bits ≠ [] ∧ bits0 ≠ [] → (boolvar ∈ bitsor(sgn(bits), bits0) ↔ boolvar ∈ bitsor(bits, bits0))
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
bitsor-bi-sgn
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 20
Proof steps: 44
Used lemmas:
bitsor-zeroes-samelen
,
or-rec-02
,
bitsor-zeroes-false
,
bitsor-zeroes-true
,
or-rec-04
,
bitsor-ones-samelen
,
or-rec-01
,
bitsor-app
,
bitsor-ones-true
,
bitsor-ones-false
,
or-rec-03
,
bitsor-mklist-in
,
Used spec theorems:
bitopsaux
/
sgn-ex-01
list
/bitlista/
split-rest
Used simplifier rules:
list
/bitlista/
in-06
list
/bitlista/
in-10
bitopsaux
/
sgn-zero
list
/bitlista/
in-empty
list
/bitlista/
app
list-data
/bitlista/
size-01
bitlista
/
somein
nat-basic1
/
one
nat-basic2
/
l
nat-basic1
/
trans
nat-basic1
/
trans-1
nat-basic2
/
succ
nat-basic2
/
l-02
nat-basic2
/
a
nat-basic2
/
c
list-data
/bitlista/
l
nat-basic1
/
f
list
/bitlista/
e
list
/bitlista/
app-02-ant
nat
/
lels-01
list
/bitlista/
len-02
list
/bitlista/
len
list
/bitlista/
c-08
list
/bitlista/
e-01
list-data
/bitlista/
elim-list-c
bitopsaux
/
sgn-true
list
/bitlista/
in-17
list
/bitlista/
in-append
list
/bitlista/
e-03
list
/bitlista/
in-13
list
/bitlista/
a
list
/bitlista/
in-14
list
/bitlista/
c