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Theorem and-rec-03
⊦ bits0 ≠ [] ∧ bits = true ' → bitsand(bits, bits0) = bits0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
and-ass
,
and-com
,
and-first
,
and-insgn
,
and-notempty
,
and-notone-01
,
and-onel-01
,
and-onel-02
,
and-onesin
,
and-sgn
,
and-size-one
,
and-true
,
and-zerosin
,
bitsand-fillsgn
,
bitsand-zero-in
,
bitsand-zeros
,
bitsxor-is-orand
,
or-invandinv
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas:
bitsand-onel
,
Used spec theorems:
list
/bitlista/
lastdiv-rew
Used simplifier rules:
list
/bitlista/
Last
list
/bitlista/
a
list
/bitlista/
app-01