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Theorem inv-get-inverse-last
⊦ stutf(nσ) ∧ ⌜n⌝ + ⌜1⌝ = leninv(nσ) ∧ ⌜inv(nσ)[n]⌝ + ⌜m⌝ + ⌜1⌝ < # nσ → 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: 22
Proof steps: 58
Used lemmas:
stutf-monle
,
monle-leq
,
maxinf-fin
,
stutf-nonempty
,
stutf-maxinf-is-fin
,
leninv-succ
,
inv-def
,
Used spec theorems:
nat-inf
/
add-comm
Used simplifier rules:
stream
/natstream/
sel-fin
stream
/natstream/
to-inf
stream
/natstream/
get-infto
nat-inf
/
eq-natinf-to-nat-2-1
nat-inf
/
sum-notinf
nat
/
le-ls-simp
nat
/
fle
nat-inf-basic
/
elim
nat-basic1
/
zero-01
nat-inf-basic
/
fin-inject-embed
nat-inf
/
less-inf2
nat-inf
/
add-inf-02
nat-inf
/
inf-less
nat-basic2
/
eq
nat
/
ler
nat
/
anti
nat-basic2
/
l-02
nat-inf
/
less-fin
nat-inf
/
add-comm
nat-inf
/
add-assoc
nat-inf
/
ls-natinf-to-nat-3-1
nat-inf-basic
/
disj
stream
/natstream/
size-empty-equiv
nat
/
elim-pred-c
nat-basic1
/
f
nat
/
lels
nat-basic2
/
l
nat-basic2
/
s
nat-basic2
/
oz
nat-inf
/
add-fin
nat-basic1
/
ref-1
nat-basic2
/
nls-fst
nat-basic2
/
a
nat-basic2
/
c