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Proof step 3 from proof inv-deallocate-gnd (previous step)

remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(gstore \ ginval), inv(gstore0), ri-inj(fi), ri-inj(fi0), n ∈ gstore, n ∈ gstore0, ¬ dups(nx), ¬ n ∈ nx ⊦ ⟪index_deallocate_gnd#(n, fi, fi0, gstore0, nx, maxino, ginval0, true; ginval, gstore; err)⟫ (inv(gstore \ ginval) ∧ elems nx ∩ ginval = ∅ ∧ dom gstore0 ∪ elems nx = dom gstore ∪ ginval)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 4:
syn ↔ true, fi = fi1, fi0 = fi2, remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(gstore0), inv(gstore \ ginval), ri-inj(fi1), ri-inj(fi2), n ∈ gstore0, n ∈ gstore ⊦ ⟪if syn ∧ n ∈ gstore ∧ ¬ n ∈ nx then {fail_or_success#(; ; err); if err = ESUCCESS then gstore := gstore -- n, ginval := ginval ++ n} else abort⟫ (inv(gstore \ ginval) ∧ elems nx ∩ ginval = ∅ ∧ dom gstore0 ∪ elems nx = dom gstore ∪ ginval), dups(nx), n ∈ nx

Rule argument

pos: right 1

Additional information

Used simplifier rules: deallocate-gnd: ⊦ ;