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Proof step 36 from proof refine-read-gblock-nodes (previous step)

# gndx3 = # lax0, # lpt = # avol, # lpt0 = # avol, # gndx1 = # lax, 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-nodes(buf, gndx3, lax0, true), abs-nodes(buf, gndx1, lax, m2 = 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(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, m2 ≠ LEB_SIZE → m2 = # buf ⊦ dups(log1), m ∈ ginval, lax0 = lax ∧ gndx3 = gndx1

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: abs-list, inst: encoding-group-node name: abs-nodes-unique-strong seq: ⊦ abs-nodes(buf, gndx, lax0, false) → ( abs-nodes(buf, gndx0, lax1, boolvar1) ↔ gndx = gndx0 ∧ lax0 = lax1) subst: [gndx, lax0, boolvar1, lax1, gndx0, buf] → [gndx3, lax0, m2 = LEB_SIZE, lax, gndx1, buf] flags: <all paths>

Additional information

Used simplifier rules: ⊦ abs-nodes(buf, gndx, lax0, false) → ( abs-nodes(buf, gndx0, lax1, boolvar1) ↔ gndx = gndx0 ∧ lax0 = lax1); (s)%abs-nodes-strengthen: ⊦ abs-nodes(buf, gndx, lax, weak) ∧ ¬ abs-nodes(buf, gndx, lax, false) → weak; (forward) from specification abs-list[encoding-group-node]%⊦ abs-nodes(buf, gndx, lax0, true) → (abs-nodes(buf, gndx0, lax1, true) ↔ gndx = gndx0 ∧ lax0 = lax1); (s) Used terms: gndx3, lax0, m2 = LEB_SIZE, lax, gndx1, buf