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Theorem abs-node-subarray-failed
n < # buf, n ≠ 0 ⊦ abs-node(buf, nd) ∧ is-aligned(n, NODE_HEADER_SIZE) → abs-failed(subarray(buf, 0, n))
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
persistence-refine
,
abs-list
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 19
Used lemmas:
abs-failed
,
abs-node
,
Used spec theorems:
array-splice
/buffer/
subarray-append-shift-right
encoding-node-base
/
alignedsize
Used simplifier rules:
node-header-size
/
2-node-header-size-add-eq-0
abs-node
/
lfw-is-encoded-nodeheader-size
nat
/
ge
nat-mult
/
numeral-29
nat-mult
/
two-02
nat-mult
/
numeral-30
array-splice
/buffer/
append-len
nat-mult
/
one
nat-mult
/
numeral-24
align
/
is-aligned-same
align
/
is-aligned-le-eq-zero
node-header-size
/
node-header-size-add-eq-0
array-splice
/buffer/
subarray-elim-right
nat-basic
/
add-base
nat-basic
/
l-08
nat-basic
/
succ
nat-basic
/
trans
nat-basic
/
lf
array-copy
/buffer/
size-subarray
nat-basic
/
l-02
nat-basic
/
ls-02
nat
/
lels-03
nat-basic
/
l-01
nat
/
let
nat
/
fle-01
node-header-size
/
validtrailer-size
nat
/
elim-sub
array-splice
/buffer/
append-a
array-splice
/buffer/
append-zero-right
array-copy
/buffer/
subarray-zero
align
/
is-aligned-zero
align
/
is-aligned-ls-eq-zero
nat-basic
/
l
align
/
is-aligned-add
encoding-node-base
/
is-aligned-alignedsize
nat-basic
/
c
nat-basic
/
a
nat
/
lep
nat-basic
/
lf-01
nat-basic
/
f
nat
/
le-def
node-header
/
sel
encoding-fixed-size-nonempty
/encoding-node-header/
is-encoded-unique
encoding-fixed-size-nonempty
/encoding-node-header/
is-encoded-not-garbage-nonempty
nat-mult
/
two-zero-01
node-header-size
/
nodeheader-notzero
nat-mult
/
mult-a
nat-mult
/
mult-c
nat-basic
/
ref
align
/
alignup-same
array-copy
/buffer/
subarray-elim
align
/
alignup-is-aligned
align
/
alignup-le-is-aligned
align
/
alignup-isnot-smaller