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Theorem inv-get-inverse-between
⊦ stutf(nσ) ∧ ⌜n⌝ + ⌜1⌝ < leninv(nσ) ∧ inv(nσ)[n] + m + 1 < inv(nσ)[n + 1] → nσ[inv(nσ)[n] + m + 1] = n + 1
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 78
Proof steps: 167
Used lemmas:
stutf-nonempty
,
stutf-def
,
leninv-succ
,
stutf-alltaken
,
stutf-zero
,
maxinf-fin
,
stutf-monle
,
monle-leq
,
maxinf-inf
,
leninv-inf
,
leninv-inf-strong
,
inv-def
,
Used spec theorems:
Used simplifier rules:
nat-basic
/
f
stream
/natstream/
to-inf
nat-basic
/
a
nat-inf
/
less-inf2
stream
/natstream/
sel-inf
nat-basic
/
succ
nat-basic
/
lf-02
nat-basic
/
trans-nat
nat-basic
/
lf
nat
/
ls-le-simp
nat
/
lels-03
nat-inf
/
elim-rqui
nat-inf
/
disj-rqui-infty
nat
/
pred-03
nat-basic
/
c
nat
/
lep
nat
/
ls-03
nat-basic
/
one-01
nat
/
le-def
nat-basic
/
oz
nat
/
elim-pred-c
nat-basic
/
l
nat-inf
/
add-comm
nat-inf
/
add-assoc
nat-inf
/
addeqinf-cancel
nat-inf
/
inf-less
nat-inf
/
add-fin
nat
/
ler
nat-basic
/
eq-02
nat
/
let
nat
/
anti
nat
/
lels
nat-basic
/
s-04
nat
/
lels-02
nat
/
succ-01
nat-basic
/
l-02
nat
/
eqle-one
stream
/natstream/
sel-fin
stream
/natstream/
get-infto
nat
/
fle
nat-inf
/
ls-natinf-to-nat-2-1
nat-inf
/
leq-notgradd
nat
/
le-ls-simp
nat
/
l-num-06
nat
/
fle-01
nat-basic
/
eqs
nat
/
eq
nat-basic
/
refl-nat
nat
/
lep-02
nat-basic
/
ls-02
nat-basic
/
nls-fst
nat-inf
/
less-fin
stream
/natstream/
size-empty-equiv
nat-inf
/
inf-inseq-reduce
nat-basic
/
lf-01
nat
/
les
nat-inf
/
add-ls-cancel-01
nat-inf
/
eqls-succ