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Theorem valid-vtbl-map-indices-erasing
⊦ ¬ dups(nx) ∧ valid-indices(wlar, nx) ∧ valid-vtbl(apebs, vols, wlar, m) ∧ indices-erasing(wlar, nx) → valid-vtbl(apebs, vols, wlar.mapIndices(nx, f), m)
Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
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the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 16
Used lemmas:
indices-erasing-at
,
Used spec theorems:
ubi-base
/
valid-vtbl
array-indices
/wlarray-base/
map-indices-at
array-indices
/wlarray-base/
map-indices-size
Used simplifier rules:
nat-basic
/
f
apeb
/
elim
wlentry
/
elim-02
encoding-vtbl
/
is-encoded-unique
apeb
/
sel-06
apeb
/
sel-05
wlentry
/
sel-04
wlstatus
/
disj-03
nat
/
fle-01
nat
/
lels
wlentry
/
inj-03
nat
/
ls-le-simp