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Proof step 10 from proof refine-get-gblock-refsize (previous step)

remove-refsize0(istore1) = istore1, remove-refsize0(gstore2) = gstore2, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, btree-inv(rp, adr, istore2, istore1, zh, fi, fi0), inv(istore1), inv(istore2), inv(gstore2), inv(gstore0 \ ginval0), ri-inj(fi0), ri-inj(fi), maxino2 ∈ gstore0, istore1 ⊑ istore2, ¬ dups(nx0), pstate = unbuffered → syn0, pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore0 ⊦ ⟨index_get_gblock_refsize#(maxino2, fi, fi0, ginval0, gstore0, gstore2, nx0, maxino1, ginval2, syn0; ; n0)⟩ (gstore0[maxino2].ref-size = n0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
gstore0[maxino2] = groupblock(gndx, lax, m), remove-refsize0(gstore2) = gstore2, remove-refsize0(istore1) = istore1, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, btree-inv(rp, adr, istore2, istore1, zh, fi, fi0), inv(gstore0 \ ginval0), inv(gstore2), inv(istore2), inv(istore1), ri-inj(fi), ri-inj(fi0), maxino2 ∈ gstore0, istore1 ⊑ istore2, pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore0, pstate.index? → pstate.lnum ∈ istore2, pstate = unbuffered → syn0 ⊦ ⟨index_get_gblock_refsize#(maxino2, fi, fi0, ginval0, gstore0, gstore2, nx0, maxino1, ginval2, syn0; ; n0)⟩ (m = n0), dups(nx0)

Rule argument

spec: ablock, inst: group-store name: elim seq: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m) subst: [gblock, gndx, lax, m] → [gstore0[maxino2], gndx, lax, m]

Additional information

Used simplifier rules: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m); (elim) Used terms: gstore0[maxino2], gndx, lax, m