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Theorem nodes-transaction

⊦ n ∈ gstore ∧ ¬ n ∈ ginval ∧ transaction(ndx, gndx1) ∧ gstore[n].gndlist = gndx0 ∧ gstore[n].ladrlist = lax0 ∧ # lax0 = # gndx0 ∧ # lax1 = # gndx1 ∧ ¬ dups(lax0 + lax1) → nodes(gstore[n, groupblock(gndx0 + gndx1, lax0 + lax1, m0)], ginval) = nodes(gstore, ginval)[lax1.to-adr(n), ndx]

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state: gjournal-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 14
Proof steps: 43
Used lemmas: nodes-gstore-at, nodes-gstore-in,
Used spec theorems:
- store/node-store/k-Extension
- gjournal-base/at-write-at
- list/laddress-list/in-def
- list-del/address-list-set/app-05-neg
- ablock-store-inv/group-store/at
- gjournal-base/transaction
- gjournal-base/at-write-other
Used simplifier rules:
- ablock/group-store/elim
- gjournal-base/in-write
- address-data/elim
- ablock-store-inv/group-store/in-write-app
- groupnode/elim
- ablock-store-inv/group-store/to-ards-no-dups
- list-dup/laddress-list/a
- list-dup/laddress-list/d
- list-dup/laddress-list/f-01
- list/address-list-set/c
- laddress/sel-01
- laddress/sel-02
- ablock-store-inv/group-store/adrs-rec
- ablock-store-inv/group-store/to-adrs-append
- list/laddress-list/len-05
- list/laddress-list/len
- list/laddress-list/c
- list-del/address-list-set/app-05
- ablock-store-inv/group-store/to-adrs-in
- list/address-list-set/a
- list-del/address-list-set/pos-y
- list-del/group-store/get-append-grt-02
- list/laddress-list/in-10
- list/laddress-list/in-append
- ablock-store-inv/group-store/in-write-explicit
- nat-basic/add-base
- list-del/laddress-list/pos-y
- list-del/laddress-list/app-05-neg
- address-data/sel-05
- address-data/sel-04
- store/group-store-ablock-store-nat-store/At-same
- nat-basic/oz
- list-data/group-store/elim-list-c
- nat-basic/l
- nat-basic/s-04
- list/group-store/e-01
- nat-basic/eq-01
- nat-basic/succ
- list/group-store/len-05
- list/group-store/c
- list/group-store/app
- list-last/group-store/last-one
- groupnode/inj
- list-data/group-store/size-01
- nat-basic/z-01
- nat-basic/zero
- list-del/group-store/one-03
- nat-basic/zero-01
- list-data/laddress-list/size-01
- list-last/group-store/l-02
- nat/eqle-one
- nat-basic/a
- nat-basic/c
- nat-basic/f
- nat-basic/lf-02
- list-data/laddress-list/l
- nat-basic/l-02
- list/group-store/a
- ablock-store-inv/group-store/at-write-app
- ablock/group-store/sel-02
- ablock/group-store/sel-01
- list/laddress-list/a
- gjournal-base/transaction-length0
- ablock-store-inv/group-store/addresslist-in-lnum-simp
- ablock-store-inv/group-store/addresslist-length
- address-data/sel-03
- groupnode/sel
- store/node-store/notmemlookup