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Theorem from-succ
⊦ ⌜n⌝ < # σ → σ from n = σ[n] + (σ from n + 1)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
infinite-append
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 17
Used lemmas:
get-from-inf
,
one-inf
,
from-nf
,
size-inf
,
sel-inf
,
from-inf
,
from-zero-l
,
from-succ-cons-l-lem
,
size-fin
,
append-assoc
,
eq-stream-to-list-2-1
,
sel-fin
,
from-fin
,
cons-append
,
Used spec theorems:
list-del
/
get-numrec
Used simplifier rules:
nat-inf
/
less-fin
nat
/
lels
nat-basic2
/
s
nat-basic2
/
succ
list
/
len-05
list
/
e-01
list
/
c
list-del
/
get-zero-01
list
/
app-08
list-data
/
l
nat-basic1
/
f
nat
/
succ-01
list
/
a
nat-basic2
/
oz
nat-inf
/
less-inf2
stream-basic
/
inj-01
nat
/
pred-03
nat-basic2
/
add-base
nat-basic2
/
a
nat-basic2
/
c
nat
/
elim-pred-c