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Proof step 10 from proof inv-add-ind (previous step)

pstate = index(m), remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), m ∈ istore, istore0 ⊑ istore, ¬ dups(nx) ⊦ ⟪apersistence_add_ind#(ind, adr, istore0, ginval, gstore, gstore0, nx, maxino, ginval0; adr0, istore, pstate, syn; err)⟫ ( inv(istore) ∧ istore0 ⊑ istore ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore) ∧ (pstate.index? → pstate.lnum ∈ istore) ∧ (pstate = unbuffered → syn))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 11:
adr = adr1, adr0 = adr2, ginval = ginval1, ginval0 = ginval2, gstore = gstore1, gstore0 = gstore2, maxino0 = maxino, pstate = index(m), remove-refsize0(istore0) = istore0, remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval2, inv(istore0), inv(istore), inv(gstore1), inv(gstore2 \ ginval2), m ∈ istore, istore0 ⊑ istore ⊦ ⟪if pstate.index? ∨ pstate = readonly then if pstate = readonly then err0 := EROFS else {choose maxino, err with ¬ @(pstate.lnum, maxino, ind.flashsize) ∈ istore ∧ err = ESUCCESS ∨ ⌊err⌋ in adr := @(pstate.lnum, maxino, ind.flashsize), err0 := err; if err0 = ESUCCESS then {istore[pstate.lnum].indlist := istore[pstate.lnum].indlist + ind; istore[pstate.lnum].ladrlist := istore[pstate.lnum].ladrlist + @(adr.pos, adr.size)} else adr := ?, pstate := readonly; syn := ?} else abort⟫ ( inv(istore) ∧ istore0 ⊑ istore ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ (pstate.index? → pstate.lnum ∈ istore) ∧ (pstate = unbuffered → syn)), dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: add-ind: ⊦ ;