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Proof step 28 from proof inv-remove (previous step)

gstore2[m] = groupblock(gndx, lax, m2), fi2[key] = @(m, m0, m1), remove-refsize0(gstore1) = gstore1, elems nx ∩ jro = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro, pmaxino ≠ 0, p_os < pmaxino, fi2.inos < jmaxino, fi1.inos < pmaxino, inv(gstore2 \ jro), inv(gstore1), refsize-cons(gstore2, range fi2), refsize-cons(gstore1, range fi1), ri-inj(fi1), ri-inj(fi2 -- key), ri-inj(fi2), m ∈ gstore2, key ∈ fi2, pmaxino ≤ jmaxino, fi2.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, ¬ dups(nx), jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro) ⊦ [index_set_gblock_refsize#(m, m2 - m1, fi2 -- key, fi1, jro, gstore1, nx, pmaxino, p_os, jvalid0; gstore2)] ( inv(gstore2 \ jro) ∧ dom gstore1 ∪ elems nx = dom gstore2 ∪ jro → (jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro)) ∧ (fi2 -- key).lebs ⊆ dom gstore2 ∧ refsize-cons(gstore2, range fi2 -- @(m, m0, m1)))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 29:
jvalid ↔ jvalid0, fi2[key] = @(m, m0, m1), gstore2[m] = groupblock(gndx, lax, m2), fi = fi1, fi0 = fi2 -- key, gstore = gstore2, gstore0 = gstore1, lnum = m, n = m2 - m1, remove-refsize0(gstore1) = gstore1, elems nx ∩ jro = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro, fi1.inos < pmaxino, fi2.inos < jmaxino, p_os < pmaxino, inv(gstore1), inv(gstore2 \ jro), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range fi2), ri-inj(fi2), ri-inj(fi2 -- key), ri-inj(fi1), key ∈ fi2, m ∈ gstore2, pmaxino ≤ jmaxino, m2 ≥ m1, fi1.lebs ⊆ dom gstore1, fi2.lebs ⊆ dom gstore2, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro) ⊦ [if lnum ∈ gstore then gstore[lnum].ref-size := n else abort] ( inv(gstore \ jro) ∧ dom gstore1 ∪ elems nx = dom gstore ∪ jro → (jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro)) ∧ (fi2 -- key).lebs ⊆ dom gstore ∧ refsize-cons(gstore, range fi2 -- @(m, m0, m1))), pmaxino = 0, dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: index_set_gblock_refsize# (LNUM, N, PRI, PFI, PINVAL, PSTORE0, PNL, PMAXINO, P_OS, ISYNCED ; PSTORE ) {if LNUM ∈ PSTORE then PSTORE[LNUM].ref-size := N else abort};