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Theorem inv-add-ind

inv-journal(nx, gstore, gstore0, ginval), inv-index(istore, istore0), inv-state(pstate, nx, gstore, istore, syn), pstate.index? ∨ pstate = readonly ⊦ ⟪apersistence_add_ind#(ind, adr, istore0, ginval, gstore, gstore0, nx, maxino, ginval0; adr0, istore, pstate, syn; err)⟫ (inv-index(istore, istore0) ∧ inv-state(pstate, nx, gstore, istore, syn))

Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 29
Used lemmas: add-ind,
Used spec theorems:
- ablock-store-inv/index-store/prefix-append-in
- ablock-store-inv/index-store/inv-append
Used simplifier rules:
- apersistence-base/inv-index
- apersistence-base/inv-journal
- apersistence-base/inv-state
- persistence-state/elim-02
- persistence-state/disj-05
- ablock-store-inv/index-store/prefix-notin-fwd
- persistence-state/disj-01
- persistence-state/test-07
- store/index-store-ablock-store-nat-store/insins
- list/laddress-list/Last
- address-data/sel-05
- address-data/sel-04
- ablock/index-store/updsel-28
- store/index-store-ablock-store-nat-store/At-same
- error-class/esuccess
- store/index-store-ablock-store-nat-store/insin
- list/index-store/Last
- ablock/index-store/elim
- ablock/index-store/upd-02
- ablock/index-store/upd-01
- apersistence-base/fwd-inv-iblock
- ablock-store-inv/index-store/at-store-inv
- list/index-store/len-02
- list/laddress-list/len-02
- ablock-store-inv/index-store/inv-set-sizes
- laddress/sel-01
- ablock-store-inv/index-store/in-in-adr
- persistence-state/test-01
- error-class/not-esuccess
- persistence-state/test-02
- persistence-state/test-04
- persistence-state/disj-03
- persistence-state/sel-02
- error-class/eio