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Proof step 8 from proof refine-sync (previous step)

remove-refsize0(istore1) = istore1, remove-refsize0(gstore2) = gstore2, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, btree-inv(rp, adr, istore2, istore1, zh, fi, fi0), inv(istore1), inv(istore2), inv(gstore2), inv(gstore0 \ ginval0), ri-inj(fi0), ri-inj(fi), istore1 ⊑ istore2, ¬ dups(nx0) ⊦ ⟨index_sync#(fi, fi0, ginval0, gstore0, gstore2, nx0, maxino0, ginval2; ; syn1, err0)⟩ ((syn1 ↔ syn0) ∧ EROFS = err0)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 9:
fi = fi1, fi0 = fi2, ginval = ginval2, gstore = gstore2, maxino = maxino0, nx = nx0, remove-refsize0(gstore2) = gstore2, remove-refsize0(istore1) = istore1, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, btree-inv(rp, adr, istore2, istore1, zh, fi2, fi1), inv(gstore0 \ ginval0), inv(gstore2), inv(istore2), inv(istore1), ri-inj(fi2), ri-inj(fi1), istore1 ⊑ istore2 ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then syn := true else syn := ?⟩ ((syn ↔ syn0) ∧ EROFS = err), dups(nx0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: index_sync# (PRI, PFI, PINVAL, PSTORE, PSTORE0, PNL, PMAXINO, P_OS; ; ISYNCED, ERR ) {fail_or_success#(; ; ERR); if ERR = ESUCCESS then ISYNCED := true else ISYNCED := ? };