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Theorem btree-inv-format

⊦ btree-inv (null, @(n, m0, m1), (∅)[n, indexblock(indexnode(mkbrarray(BRANCH_SIZE), true, 0) ', @(m0, m1) ', m1)], (∅)[n, indexblock(indexnode(mkbrarray(BRANCH_SIZE), true, 0) ', @(m0, m1) ', m1)], zh, ∅, ∅)

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: s, ls,
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: 27
Used lemmas: infinite-memory, bleaf, btree, btree-crash, btree-adrs, btree-refed-subseteq-alladrs, btree-inv,
Used spec theorems:
- zbranch-array-ops/unmodified
- znode-ops/save-node
- ablock-nodes/index-store/at-nodes
- ablock-store-inv/index-store/at
- ablock-store-refsize-cons/index-store/refsize-cons-def
- store/index-store-ablock-store-nat-store/At-other
Used simplifier rules:
- store+set/index-store-address-store/Dom
- set-basic/node-store/sub-one-02
- heap-sep/zheap/prop
- Unknown/Unknown
- heap-sep/zheap/emp-sep
- heap-sep/zheap/prop-shift
- heap-sep/zheap/and-com
- heap-sep/zheap/and-ass
- heap-sep/zheap/true-and
- nat/ler
- set-union/node-store/del-e-01
- set-union/node-store/del-addeq-05
- zbranch-array-ops/nsze-ok
- set-basic/node-store/in-04
- heap-sep/zheap/true-rev
- zbranch-array-ops/payload-base
- zbranch-array-sorted/sorted-base
- nat/lez
- array/zbranch-array/Size-mkarray
- constants/branchsize-0
- nat-basic/zero
- heap/zheap/in-emp
- Unknown/Unknown
- Unknown/Unknown
- heap-sep/zheap/sep-ass
- heap-sep/zheap/sep-com
- Unknown/Unknown
- heap-sep/zheap/trueH
- ablock-nodes/index-store/in-nodes
- znode/sel-04
- znode/sel-03
- znode-ops/save-branches-base
- znode/sel-05
- znode/sel-02
- address-data/sel-03
- Unknown/Unknown
- address-data/sel-04
- Unknown/Unknown
- list-del/laddress-list/pos-one
- list-del/index-store/one-03
- ablock-store-inv/index-store/in-write-explicit
- list/laddress-list/in-17
- Unknown/Unknown
- ablock-store-refsize-cons/group-store/restrict-add-other
- ablock-store-refsize-cons/group-store/restrict-empty
- ablock-store-refsize-cons/group-store/size-emp
- store/index-store-ablock-store-nat-store/in-neq
- store/index-store-ablock-store-nat-store/In-empty
- store/index-store-ablock-store-nat-store/At-same
- Unknown/Unknown
- ablock-store-refsize-cons/group-store/restrict-add
- ablock-store-refsize-cons/group-store/size-rec-simp
- set-basic/node-store/In-empty
- address-data/sel-05
- nat-basic/add-base
- nat-basic/a
- nat-basic/c