[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem length-from
¬ # x < n ⊦ #(x from n) = # x - n
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
fin-size-from
,
fin-size-from2
,
from-append-add
,
from-append-tofrom
,
less-size-from
,
lslen-fromnotempty-list
,
size-from-less
,
swap-from-to
,
swap-to-from-app
,
ton-fromn-fin
,
ton-fromn-inf
,
Used by units in proved state:
streamseq-mon-lim
,
inf-app-list
,
infinite-append
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 8
Used lemmas:
from-succ-cons-l-lem
,
from-zero-l
,
Used spec theorems:
Used simplifier rules:
nat
/
lels
nat
/
elim-sub
nat
/
lep
nat-basic2
/
add-base
list-data
/
size-01
nat-basic2
/
z-01
nat-basic2
/
oz
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
eq-01
list
/
a
nat-basic2
/
succ
list
/
len-05
list
/
c