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Proof step 4 from proof refine-remove (previous step)

fi = ri, fi0 = fi1, fs = nodes(gstore ↓, jro0), jro = jro0, log = abs-log(nx, gstore ↓), remove-refsize0(gstore0) = gstore0, elems nx ∩ jro0 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ jro0, p_os.keys.inodes?, jro1.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino, p_os < pmaxino, jro1 < jmaxino, inv(gstore0), inv(gstore \ jro0), log-cons(abs-log(nx, gstore ↓), nodes(gstore ↓, jro0)), refsize-cons(gstore0, range fi1), refsize-cons(gstore, range ri), ri-inj(fi1), ri-inj(ri), pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore0, ri.lebs ⊆ dom gstore, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0), jvalid → jvalid0 ⊦ ⟪let jvalid = ?, adr = ? in {index_index_remove#(key, fi0, jro, gstore, gstore0, nx, pmaxino, p_os, jvalid0; adr, jvalid, fi); if jvalid then let n = ? in {index_get_gblock_refsize#(adr.lnum, fi, fi0, jro, gstore, gstore0, nx, pmaxino, p_os, jvalid0; ; n); index_set_gblock_refsize#(adr.lnum, n - adr.size, fi, fi0, jro, gstore0, nx, pmaxino, p_os, jvalid0; gstore)}}⟫ ⟨aubifs_core_index_remove#(key, fi1, jro1.keys, p_os.keys, fs, log, jvalid; ri)⟩ (fi = ri ∧ log = abs-log(nx, gstore ↓) ∧ fs = nodes(gstore ↓, jro0) ∧ (jvalid → jvalid0)), jmaxino = 0, pmaxino = 0, dups(nx)

Heuristic symbolic execution applied rule let right

And obtained the following new goals

Rule argument

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