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Theorem prepost-remove-nonend-blocks

n ∈ gstore, ¬ n ∈ ginval, ax = ax0, inv(gstore \ ginval) ⊦ ⟪gjournal_remove_nonend_blocks#(n, ri, fi, ginval, gstore, gstore0, nx0, maxino, ns, boolvar0; ax; err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → ax = ax0 + prefixn(valid-group-nodes(gstore[n].gndlist), gstore[n].ladrlist.to-adr(n))))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 11
Proof steps: 60
Used lemmas:
Used spec theorems:
- list/group-store/lastdiv-rew
- list-last/address-list-set/bapp
- list-prefixn/laddress-list/prefixn
- ablock-store-inv/group-store/prefixn-to-adrs
- list-prefixn/address-list-set/prefixn-butlast
Used simplifier rules:
- ablock/group-store/elim
- ablock/group-store/sel-01
- ablock/group-store/sel-02
- error-class/esuccess
- list-data/group-store/size-01
- list-prefixn/laddress-list/prefixn-0
- list-prefixn/laddress-list/prefixn-eq-empty
- ablock-store-inv/group-store/inv-eq-list-size
- list/group-store/app-04
- ablock-store-inv/group-store/inv-prefixn-lax
- gjournal-abs/remove-nonend-inv
- nat-basic/zero
- gjournal-abs/valid-group-nodes-last-end
- oelem/nat-set/irreflexivity
- nat-basic/s-04
- nat/ls-01
- nat/eq-02
- nat-basic/one-01
- list-last/group-store/lb
- nat/elim-pred-c
- groupnode/elim
- groupnode/sel-05
- list/group-store/app-01
- list-last/group-store/butlast-def
- nat-basic/eq-01
- list/group-store/len-02
- list/group-store/len
- list-last/group-store/last-def
- gjournal-abs/valid-group-nodes-rec
- list/address-list-set/app
- ablock-store-inv/group-store/adrs-empty
- list-del/laddress-list/firstN-empty
- list/address-list-set/app-01
- list-prefixn/laddress-list/prefixn-neq-empty-plusone
- nat/add-01
- nat-basic/add-base
- ablock-store-inv/group-store/to-adrs-eq
- nat/lels
- list-prefixn/laddress-list/prefixn-fulln
- nat-basic/nls-fst
- nat/le-def
- ablock-store-inv/group-store/addresslist-length
- nat-basic/oz
- ablock-store-inv/group-store/prefixn-to-adrs
- nat/succ-01
- nat-basic/l-02
- list/address-list-set/a
- ablock-store-inv/group-store/to-adrs-eq-empty
- list/address-list-set/app-02
- list-prefixn/laddress-list/prefixn-empty
- list-data/laddress-list/size-01
- nat-basic/z-01
- list-data/group-store/l
- apersistence-base/fwd-inv-gblock-rem
- list/laddress-list/len-05
- list/laddress-list/c
- list/group-store/c
- list/group-store/len-05
- nat-basic/succ
- list-prefixn/laddress-list/prefixn-prepend-one
- list/laddress-list/a
- nat-basic/a
- nat-basic/c
- list/laddress-list/app-02
- list/laddress-list/e
- list/group-store/a
- list/group-store/Nil
- gjournal-abs/valid-group-nodes-base
- error-class/not-esuccess
- error/disj-91
- error-class/ecommit