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Theorem mtd-cons-above-fillcount-empty
n < # pebs ⊦ mtd-cons(pebs) ∧ m0 ≥ m ∧ m0 + m1 ≤ PEB_SIZE ∧ pebs[n] = mkpeb(buf, m, false) → subarray(buf, m0, m1) = mkempbuf(m1)
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: 5
Proof steps: 14
Used lemmas:
mtd-valid-peb
,
mtd-cons
,
Used spec theorems:
array
/buffer/
Extension
array-splice
/buffer/
range-eq-ext
nat
/
anti
Used simplifier rules:
nat
/
ge
peb
/
sel-06
peb
/
sel-05
peb
/
sel-07
nat
/
elim-sub
array-splice
/buffer/
emparray-at
array-copy
/buffer/
subarray-at
array-splice
/buffer/
emparray-len
array-copy
/buffer/
size-subarray
nat
/
ler
nat
/
let
eraseblock
/
emptypeb-at
eraseblock
/
emptypeb-size
nat
/
lels
nat
/
sub-add
nat
/
add-01
nat
/
lep
nat-basic
/
a
nat-basic
/
c
nat-basic
/
eqs
nat
/
lep-02
nat
/
ls-le-simp
nat
/
anti
nat
/
lels-02
nat-basic
/
lf-01
nat-basic
/
f
nat-basic
/
l
nat-basic
/
l-06
nat
/
fle
nat-basic
/
ls-02