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Proof step 43 from proof inv-add-gnds (previous step)

# lpt0 = # avol, # lpt1 = # avol, # buf0 = gndx.flashsize, # gndx = # lax, isbuf ↔ isbuf1, lpt1[n] = mklp(m4, # buf1, LP_GROUP_NODES, m2), avol[n] = mapped(buf1), bleb = buffered(n), buf = buf0, ¬ isbuf1, keyset(gch) = gc-heap(lpt1, log0), log = log0, lpt = lpt0, m0 = m, n0 = gndx.flashsize, n < # avol, abs-nodes(buf0, # buf1, gndx, lax, false), awbuf-inv(avol, buffered(n)), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, buffered(n), lpt1, avol), bufs-log-only(buffered(n), log0, lpt1), freelist-cons(lpt1, freelist), log-group-block(log0, lpt1), lpt-free-unref(lpt0), lpt-free-unref(lpt1), lpt-leb-size(lpt0), lpt-leb-size(lpt1), lpt-ram-flash(lpt1, lpt0, log0), n ∈ log0, # buf1 + gndx.flashsize ≤ LEB_SIZE ⊦ [if bleb ≠ nobuffer ∧ # avol[bleb.leb].data + n0 ≤ LEB_SIZE ∧ n0 ≤ # buf then if isbuf then err := EROFS else {fail_or_success#(; ; err); let m = bleb.leb in if err = ESUCCESS then avol[m] := mapped(avol[m].data + subarray(buf, 0, n0)) else { choose n with n ≠ 0 ∧ n < n0 ∧ is-aligned(# avol[m].data + n, EB_PAGE_SIZE) in avol[m] := mapped(avol[m].data + subarray(buf, 0, n)) ifnone skip or skip; isbuf := true}} else abort] ( awbuf-inv(avol, buffered(n)) ∧ # lpt0 = # avol → ⟪if err = ESUCCESS then lpt1[buffered(n).leb] := mklp (lpt1[buffered(n).leb].ref-size, lpt1[buffered(n).leb].size + gndx.flashsize, lpt1[buffered(n).leb].flags, lpt1[buffered(n).leb].gcheapidx) else {debug#("persistence: adding group node to LEB " + buffered(n).leb.toString + " failed"); lpt1[buffered(n).leb] := mklp(lpt1[buffered(n).leb].ref-size, LEB_SIZE, lpt1[buffered(n).leb].flags, lpt1[buffered(n).leb].gcheapidx)}⟫ ( lpt-free-unref(lpt1) ∧ freelist-cons(lpt1, freelist) ∧ bin-heap-inv(gch, lpt1) ∧ keyset(gch) = gc-heap(lpt1, log0) ∧ bufs-log-only(buffered(n), log0, lpt1) ∧ # lpt1 = # avol ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(isbuf, buffered(n), lpt1, avol) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0))), gndx = [], dups(log0)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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