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Proof step 104 from proof inv-allocate (previous step)

jvalid ↔ true, fi = fi1, fi0 = fi2, gstore = gstore3, gstore0 = gstore2, gstore1 = gstore3, jro0 = jro, nx0 = nx, remove-refsize0(gstore2) = gstore2, elems nx ∩ jro = ∅, dom gstore2 ∪ elems nx = dom gstore3 ∪ jro, p_os < pmaxino, fi2.inos < jmaxino1, fi1.inos < pmaxino, inv(gstore3 \ jro), inv(gstore2), refsize-cons(gstore3, range fi2), refsize-cons(gstore2, range fi1), ri-inj(fi1), ri-inj(fi2), jmaxino ≤ LEB_SIZE, pmaxino ≤ jmaxino1, fi2.lebs ⊆ dom gstore3, fi1.lebs ⊆ dom gstore2, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro) ⊦ [fail_or_success#(; ; err); if err = ESUCCESS then choose n with ¬ n ∈ gstore in gstore[n] := groupblock([], [], 0), nx := nx + n, jro := jro -- n] ( inv(gstore \ jro) ∧ elems nx ∩ jro = ∅ ∧ ¬ dups(nx) ∧ dom gstore2 ∪ elems nx = dom gstore ∪ jro → ⟪if err = ESUCCESS then jvalid1 := true⟫ ( (jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro)) ∧ fi2.lebs ⊆ dom gstore ∧ refsize-cons(gstore, range fi2) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ dom gstore1 ⊆ dom gstore ∧ (nx.toSet \ nx0.toSet) ∩ dom gstore1 = ∅ ∧ abs-log(nx, gstore ↓) = abs-log(nx0, gstore1 ↓) ∧ nodes(gstore ↓, jro) = nodes(gstore1 ↓, jro0) ∧ (err = ESUCCESS → jvalid1 ∧ nx ≠ []))), pmaxino = 0, dups(nx), nx ≠ [] ∧ jvalid1 ∧ jmaxino ≤ n, nx ≠ [] ∧ jvalid1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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