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Proof step 17 from proof refine-allocate-gnd (previous step)

syn ↔ true, fi = fi1, fi0 = fi2, ginval = ginval3, ginval0 = ginval2, ginval1 = ginval3, gstore = gstore3, gstore0 = gstore2, gstore1 = gstore3, maxino = maxino0, nx = nx0, nx1 = nx0, remove-refsize0(istore1) = istore1, remove-refsize0(gstore2) = gstore2, elems nx0 ∩ ginval3 = ∅, dom gstore2 ∪ elems nx0 = dom gstore3 ∪ ginval3, btree-inv(rp, adr, istore2, istore1, zh, fi2, fi1), inv(istore1), inv(istore2), inv(gstore2), inv(gstore3 \ ginval3), ri-inj(fi1), ri-inj(fi2), istore1 ⊑ istore2 ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then choose n with ¬ n ∈ gstore in gstore[n] := groupblock([], [], 0), nx := nx + n, ginval := ginval -- n⟩ (ginval = ginval1 ∧ gstore = gstore1 ∧ nx = nx1 ∧ EROFS = err), dups(nx0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
remove-refsize0(gstore2) = gstore2, remove-refsize0(istore1) = istore1, elems nx0 ∩ ginval3 = ∅, dom gstore2 ∪ elems nx0 = dom gstore3 ∪ ginval3, btree-inv(rp, adr, istore2, istore1, zh, fi2, fi1), inv(gstore3 \ ginval3), inv(gstore2), inv(istore2), inv(istore1), ri-inj(fi2), ri-inj(fi1), istore1 ⊑ istore2, ¬ dups(nx0) ⊦ ⟨fail_or_success#(; ; err); nx := nx0; gstore := gstore3; ginval := ginval3; if err = ESUCCESS then choose n with ¬ n ∈ gstore in gstore[n] := groupblock([], [], 0), nx := nx + n, ginval := ginval -- n⟩ (ginval = ginval3 ∧ gstore = gstore3 ∧ nx = nx0 ∧ EROFS = err)

Proof step 17 from proof refine-allocate-gnd (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information