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Theorem inv-get-lslen
⊦ stutf(nσ) ∧ ⌜n⌝ < leninv(nσ) → (¬ ⌜inv(nσ)[n]⌝ < # nσ ↔ false)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 12
Proof steps: 30
Used lemmas:
maxinf-fin
,
stutf-alltaken
,
maxinf-inf
,
stutf-nonempty
,
leninv-succ
,
leninv-inf-strong
,
inv-def
,
Used spec theorems:
nat-inf-basic
/
fin-inject-embed
nat-inf-basic
/
notinf-fin
Used simplifier rules:
stream
/natstream/
to-inf
stream
/natstream/
sel-inf
stream
/natstream/
sel-fin
nat-inf-basic
/
elim
stream
/natstream/
get-infto
nat
/
ls-le-simp
nat-basic2
/
succ
nat-inf
/
less-inf2
nat
/
lels
nat-inf-basic
/
disj
nat-inf
/
less-fin
stream
/natstream/
size-empty-equiv
nat
/
elim-pred-c
nat-basic1
/
f
nat
/
succ-01
nat-basic2
/
oz
nat-inf
/
add-fin
nat
/
fle-01
nat-basic2
/
c
nat-basic2
/
a
nat-basic1
/
ref-1
nat-basic2
/
s
nat-inf
/
inf-inseq-reduce
nat-inf
/
add-comm
nat-inf
/
add-assoc
nat
/
le-ls-simp