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Proof step 36 from proof inv-allocate (previous step)

err = err0, remove-refsize0(gstore2) = gstore2, elems nx ∩ jro = ∅, dom gstore2 ∪ elems nx = dom gstore3 ∪ jro, n0 < LEB_SIZE, n0 < jmaxino, fi1.inos < pmaxino, fi2.inos < jmaxino1, p_os < pmaxino, inv(gstore2), inv(gstore3 \ jro), inv(gstore3[nx.last]), refsize-cons(gstore2, range fi1), refsize-cons(gstore3, range fi2), ri-inj(fi1), ri-inj(fi2), valid-journal-head(nx, gstore3, jro), nx.last ∈ gstore3, pmaxino ≤ jmaxino1, jmaxino ≤ LEB_SIZE, fi1.lebs ⊆ dom gstore2, fi2.lebs ⊆ dom gstore3, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪if err = ESUCCESS then jvalid := true else jvalid := ?; nx0 := nx; jro0 := jro; gstore1 := gstore3; if err = ESUCCESS then index_allocate_gnd#(fi2, fi1, gstore2, pmaxino, p_os, jvalid; jro, gstore3, nx; err); jvalid1 := true; if err = ESUCCESS then jvalid1 := true⟫ ( (jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro)) ∧ fi2.lebs ⊆ dom gstore3 ∧ refsize-cons(gstore3, range fi2) ∧ inv(gstore3 \ jro) ∧ elems nx ∩ jro = ∅ ∧ ¬ dups(nx) ∧ dom gstore2 ∪ elems nx = dom gstore3 ∪ jro ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ dom gstore1 ⊆ dom gstore3 ∧ (nx.toSet \ nx0.toSet) ∩ dom gstore1 = ∅ ∧ abs-log(nx, gstore3 ↓) = abs-log(nx0, gstore1 ↓) ∧ nodes(gstore3 ↓, jro) = nodes(gstore1 ↓, jro0) ∧ (err = ESUCCESS → jvalid1 ∧ nx ≠ [])), nx = [], pmaxino = 0, dups(nx)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

Additional information