[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 swap-to-from-app
⊦ m ≤ n ∧ ¬ # σ < ⌜n⌝ → ⌜σ to n⌝ + σ0 from m = ⌜(σ from m) to (n - m)⌝ + σ0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
swap-inf-to-from-app
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 8
Used lemmas:
empty-append
,
empty
,
to-zero
,
from-zero
,
append-assoc
,
append-split-fin
,
swap-to-from
,
append-from-le-01
,
size-to
,
size-to-02
,
append-from-ge-02
,
Used spec theorems:
Used simplifier rules:
nat
/
elim-sub
nat-basic
/
c
nat-basic
/
a
nat-inf
/
add-fin
nat
/
lep
nat-inf
/
disj-rqui-infty
nat-inf
/
prime-add-fin
nat-inf
/
sel-rqui-dotn
nat-inf
/
ls-natinf-to-nat-1-2
nat
/
lels
nat
/
le-add
nat-inf
/
add-assoc
nat-inf
/
add-comm
nat-basic
/
add-base
nat
/
zero
nat-basic
/
l-01
nat
/
le-def
nat-basic
/
l-02
nat
/
eq-01