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Proof step 4 from proof refine-add-gnds (previous step)

gstore = gstore0, ax = ax0, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, remove-refsize0(gstore2) = gstore2, remove-refsize0(istore0) = istore0, maxino ∈ nx0, m0 + gndlist.flashsize ≤ LEB_SIZE, btree-inv(rp, adr, gstore0 \ ginval0, istore, istore0, zh, fi, fi0, ld), inv(gstore0 \ ginval0), inv(gstore2), flushed(gstore0 \ (ginval0 ∪ elems nx0)), gstore2 \ ginval0 lpt= gstore0 \ elems nx0, ri-inj(fi), ri-inj(fi0), btree-inv(rp, adr, gstore0 \ ginval0, istore, istore0, zh, ri, fi1, ld0), inv(istore), inv(istore0), flushed(istore0), istore0 ⊑ istore, maxino ∈ gstore0, ¬ boolvar, ¬ dups(nx0), ¬ maxino ∈ ginval0, gstore0[maxino] = groupblock(gndlist0, lax, m, m0, m1, boolvar) ⊦ ⟪btree_add_gnds#(maxino, gndlist, nx0; ax, gstore0; err)⟫ ⟨index+persistence_add_gnds#(maxino, gndlist, nx0; ax0, gstore; err0)⟩ (gstore = gstore0 ∧ btree-inv(rp, adr, gstore0 \ ginval0, istore, istore0, zh, fi, fi0, ld) ∧ ax = ax0 ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
gstore = gstore0, ax = ax0, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, remove-refsize0(gstore2) = gstore2, remove-refsize0(istore0) = istore0, gstore0[maxino] = groupblock(gndlist0, lax, m, m0, m1, false), maxino ∈ nx0, m0 + gndlist.flashsize ≤ LEB_SIZE, btree-inv(rp, adr, gstore0 \ ginval0, istore, istore0, zh, fi, fi0, ld), inv(gstore0 \ ginval0), inv(gstore2), flushed(gstore0 \ (ginval0 ∪ elems nx0)), gstore2 \ ginval0 lpt= gstore0 \ elems nx0, ri-inj(fi), ri-inj(fi0), btree-inv(rp, adr, gstore0 \ ginval0, istore, istore0, zh, ri, fi1, ld0), inv(istore), inv(istore0), flushed(istore0), istore0 ⊑ istore, maxino ∈ gstore0, inv(groupblock(gndlist0, lax, m, m0, m1, false)), ¬ dups(nx0), ¬ maxino ∈ ginval0 ⊦ ⟪btree_add_gnds#(maxino, gndlist, nx0; ax, gstore0; err)⟫ ⟨index+persistence_add_gnds#(maxino, gndlist, nx0; ax0, gstore; err0)⟩ (gstore = gstore0 ∧ btree-inv(rp, adr, gstore0 \ ginval0, istore, istore0, zh, fi, fi0, ld) ∧ ax = ax0 ∧ err = err0)

Rule argument

Additional information

Used simplifier rules: fwd-inv-gblock-rem: ⊦ inv(gstore \ ginval) ∧ n ∈ gstore ∧ ¬ n ∈ ginval ∧ gstore[n] = gblock → inv(gblock); (forward) from specification apersistence-base