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Theorem perm-updrow-ind
⊦ #c mx = # a ∧ n ≤ #r mx ∧ r < #r mx ∧ perm(mx[r]r, a) → perm(toArr(mx, n), toArr(mx[r := a]r, n))
Type: A user defined theorem
Validity: The proof is valid.
Features: lss,
Comment:
Used by:
perm-updrow
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 7
Used lemmas:
putrow-getrow
,
toArr-rec
,
toArr-base
,
toArr-outside-gen
,
Used spec theorems:
Used simplifier rules:
nat-basic
/
f
nat
/
lez
list-perm
/list-as-arrayinstance/
perm-e
nat-basic
/
c
nat-basic
/
a
nat-basic
/
succ
nat
/
succ-01
nat
/
le-def
nat-basic
/
refl-nat
list-perm
/list-as-arrayinstance/
a
list
/list-as-arrayinstance/
a
list-perm
/list-as-arrayinstance/
app-end-end
nat
/
lels-03