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Theorem inv-ls-succ
⊦ stutf(nσ) ∧ ⌜n⌝ + ⌜1⌝ < leninv(nσ) → inv(nσ)[n] < inv(nσ)[n + 1]
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
inv-ls-notleq
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 58
Proof steps: 123
Used lemmas:
maxinf-fin
,
leninv-def
,
stutf-alltaken
,
stutf-zero
,
stutf-monle
,
monle-leq
,
leninv-inf
,
maxinf-inf
,
inv-def
,
Used spec theorems:
nat-inf-basic
/
notinf-fin
Used simplifier rules:
stream
/natstream/
to-inf
nat-basic1
/
zero
nat
/
not-zero
nat-basic1
/
one-01
nat
/
add-num-03
nat
/
lels-01
nat-inf
/
less-inf2
stream
/natstream/
sel-fin
nat-inf-basic
/
elim
nat
/
l-num-06
nat
/
elim-pred-c
nat-basic2
/
l
nat-basic2
/
oz
nat-basic1
/
lf-01
nat
/
les
nat-basic2
/
s
nat
/
ler
nat-basic2
/
succ-03
nat
/
le-one
nat-basic1
/
ref-1
nat-basic2
/
succ
nat-basic1
/
lf
nat-basic1
/
trans-1
nat-basic1
/
ls-02
nat
/
ls-le-simp
nat
/
fle-01
nat
/
eqle-one
nat
/
succ-01
nat-inf
/
lsle-trans
nat-inf
/
less-fin
nat-inf
/
add-inf-02
nat-inf
/
inf-less
stream
/natstream/
sel-inf
nat
/
lels-03
nat
/
eq
nat-inf-basic
/
sel
nat-inf
/
add-comm
nat-inf
/
add-assoc
nat
/
le-ls-simp
nat-inf
/
ls-natinf-to-nat-2-1
nat-inf-basic
/
disj
nat-basic1
/
f
nat-basic1
/
lf-02
nat
/
let
nat
/
lep
stream
/natstream/
get-infto
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
l-02
nat
/
fle
nat
/
lels