[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 allgerange-recup
m < n, n < # x ⊦ all≥(x, m, n, a) ↔ ¬ x[n - 1] < a ∧ all≥(x, m, n - 1, a)
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: 0
Proof steps: 12
Used lemmas:
allge-range-def
,
Used spec theorems:
Used simplifier rules:
nat-basic
/
succ
nat-basic
/
f
list-data
/
l
nat-basic
/
trans-nat
nat-basic
/
lf
nat
/
ls
nat-basic
/
one-01
nat
/
le-def
nat-basic
/
zero
nat-basic
/
less-zero
nat
/
elim-pred-c
nat-basic
/
c
nat-basic
/
a
nat-basic
/
l
nat-basic
/
s-04
nat
/
lels
nat-basic
/
oz
nat-basic
/
refl-nat
nat-basic
/
nls-fst
nat
/
lels-03
nat
/
fle-01
nat-basic
/
ls-02
nat
/
let
nat
/
anti