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Proof step 33 from proof refine-read-gblock-nodes (previous step)

# gndx3 = # lax0, # lpt = # avol, # lpt0 = # avol, avol[m] = mapped(buf), lpt[m] = mklp(m1, m2, LP_GROUP_NODES, m3), gstore2[m] = groupblock(gndx1, lax, m1), keyset(gch) = gc-heap(lpt, log1), remove-refsize0(gstore1) = gstore1, remove-refsize0(istore1) = istore1, elems log1 ∩ ginval = ∅, dom gstore1 ∪ elems log1 = dom gstore2 ∪ ginval, ginval < # avol, m < # avol, abs-istore(avol, lpt, istore2), abs-leb(mapped(buf), groupblock(gndx1, lax, m1), mklp(m1, m2, LP_GROUP_NODES, m3)), abs-nodes(buf, gndx3, lax0, true), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(pstate = readonly, bleb, lpt, avol), bufs-log-only(bleb, log1, lpt), flash-lpt-cons(lpt0, istore1, gstore1), freelist-cons(lpt, freelist), inv(gstore2 \ ginval), inv(gstore1), inv(istore2), inv(istore1), inv(groupblock(gndx1, lax, m1)), log-group-block(log1, lpt), lpt-free-unref(lpt), lpt-free-unref(lpt0), lpt-leb-size(lpt), lpt-leb-size(lpt0), lpt-ram-flash(lpt, lpt0, log1), m ∈ gstore2, istore1 ⊑ istore2, isbuf → synced(avol), pstate = unbuffered → bleb = nobuffer, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum), pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore2, pstate.index? → pstate.lnum ∈ istore2, pstate = unbuffered → isbuf ⊦ dups(log1), m ∈ ginval, lax0 = lax ∧ gndx3 = gndx1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 34:
⊦ abs-leb(aleb, gblock, lp) ↔ aleb.mapped? ∧ abs-nodes(aleb.data, gblock.gndlist, gblock.ladrlist, lp.size = LEB_SIZE) ∧ (lp.size ≠ LEB_SIZE → lp.size = # aleb.data)
Proof step 35:
# lpt0 = # avol, # lpt = # avol, # gndx3 = # lax0, gstore2[m] = groupblock(gndx1, lax, m1), lpt[m] = mklp(m1, m2, LP_GROUP_NODES, m3), avol[m] = mapped(buf), keyset(gch) = gc-heap(lpt, log1), remove-refsize0(istore1) = istore1, remove-refsize0(gstore1) = gstore1, elems log1 ∩ ginval = ∅, dom gstore1 ∪ elems log1 = dom gstore2 ∪ ginval, mapped(buf).mapped?, m < # avol, ginval < # avol, abs-istore(avol, lpt, istore2), abs-nodes(buf, gndx3, lax0, true), abs-nodes(mapped(buf).data, groupblock(gndx1, lax, m1).gndlist, groupblock(gndx1, lax, m1).ladrlist, mklp(m1, m2, LP_GROUP_NODES, m3).size = LEB_SIZE), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(pstate = readonly, bleb, lpt, avol), bufs-log-only(bleb, log1, lpt), flash-lpt-cons(lpt0, istore1, gstore1), freelist-cons(lpt, freelist), inv(groupblock(gndx1, lax, m1)), inv(istore1), inv(istore2), inv(gstore1), inv(gstore2 \ ginval), log-group-block(log1, lpt), lpt-free-unref(lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt0), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log1), m ∈ gstore2, istore1 ⊑ istore2, pstate = unbuffered → isbuf, pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore2, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum), pstate = unbuffered → bleb = nobuffer, isbuf → synced(avol), mklp(m1, m2, LP_GROUP_NODES, m3).size ≠ LEB_SIZE → mklp(m1, m2, LP_GROUP_NODES, m3).size = # mapped(buf).data ⊦ dups(log1), m ∈ ginval, lax0 = lax ∧ gndx3 = gndx1

Rule argument

spec: abs-leb, inst: encoding-group-node name: abs-leb-def seq: ⊦ abs-leb(aleb, gblock, lp) ↔ aleb.mapped? ∧ abs-nodes (aleb.data, gblock.gndlist, gblock.ladrlist, lp.size = LEB_SIZE) ∧ (lp.size ≠ LEB_SIZE → lp.size = # aleb.data) subst: [lp, gblock, aleb] → [mklp(m1, m2, LP_GROUP_NODES, m3), groupblock(gndx1, lax, m1), mapped(buf)] flags: <all paths>

Additional information

Used terms: mklp(m1, m2, LP_GROUP_NODES, m3), groupblock(gndx1, lax, m1), mapped(buf)