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Theorem srowsorted-permtoArr-ind
#r mx = #r mx0, #c mx = #c mx0, r ≤ #r mx0, m ≤ #r mx0 ⊦ srowsorted(mx, r, mx0) → perm(toArr(mx0, m), toArr(mx, m))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
srowsorted-permtoArr
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 11
Used lemmas:
srowsorted-def
,
Used spec theorems:
list-perm
/oarray-sort/
papp
Used simplifier rules:
nat
/
lez
rowcol-upd
/
toArr-base
list-perm
/oarray-sort/
perm-e
nat-basic
/
f
nat-basic
/
lf-01
nat-basic
/
c
nat-basic
/
a
rowcol-upd
/
toArr-rec
nat-basic
/
succ
nat
/
succ-01
nat
/
lels-03
nat
/
le-def
nat-basic
/
lf-02
nat
/
fle
nat-basic
/
lf
nat-basic
/
trans-nat
nat
/
fle-01
nat-basic
/
refl-nat
nat
/
lels
list-perm
/oarray-sort/
app-end-end
list
/oarray-sort/
a