[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem btree-inv-crash
⊦ istore0 ⊑ istore ∧ remove-refsize0(istore0) = istore0 ∧ btree-inv(rp, adr, istore, istore0, zh0, ri, fi) ∧ inv(istore) → btree-inv(null, adr, remove-refsize0(crash(istore, istore0)), istore0, zh1, fi, fi)
Type: A user defined theorem
Validity: The proof is INVALID because - the proof was set to invalid (continue/load proof to restore) - it uses invalid symbols - the proof was set to invalid (continue/load proof to restore)
Features: ss, lss,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 15
Proof steps: 32
Used lemmas:
btree-clean-alladrs
,
btree
,
btree-clean-fwd
,
btree-crash
,
btree-istore-reduce
,
btree-adrs
,
btree-refed-subseteq-alladrs
,
btree-inv
,
Used spec theorems:
ablock-store-refsize-cons
/index-store/
refsize-cons-remove-refsize0
ablock-nodes
/index-store/
prefix-imp-nodes-subset
ablock-store-refsize-cons
/index-store/
in-remove-refsize0-refsize-cons
ablock-store-inv
/index-store/
in
apersistence-base
/
crash-index-at
ablock-store-refsize-cons
/index-store/
remove-refsize0-refsize-cons
ablock-nodes
/index-store/
prefix-imp-dom-nodes-subset
Used simplifier rules:
set-basic
/node-store/
sub-trans
apersistence-base
/
icrash-remove-refsize0-prefix
set-basic
/node-store/
size-zero-01
constants
/
branchsize-0
nat-basic
/
f
set-basic
/node-store/
ne-01
heap-sep
/zheap/
trueH
zbranch-array-ops
/
nsze-ok
apersistence-base
/
crash-index-in
address-data
/
elim
ablock-store-inv
/index-store/
prefix-fwd-in
ablock-store-inv
/index-store/
notin-notin
ablock-nodes
/index-store/
in-nodes
store+set
/index-store-address-store/
Dom
set-basic
/node-store/
sub-in
ablock-store-inv
/index-store/
prefix-in
ablock-store-inv
/index-store/
prefix-at
Unknown
/
Unknown
Unknown
/
Unknown
Unknown
/
Unknown
set-basic
/node-store/
sub-idem
apersistence-base
/
inv-crash
apersistence-base
/
icrash-refsize-cons
set-basic
/node-store/
sub-ntrans
heap-sep
/zheap/
sep-com
heap-sep
/zheap/
sep-ass