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Proof step 143 from proof refine-allocate-ind (previous step)

# lpt2 = # avol0, # lpt0 = # avol0, (elems nx ∪ dom gstore0) ++ n = dom gstore ∪ ginval, lpt2[n] = mklp(m, m0, LP_GROUP_NODES, m1), gstore[n] = groupblock(gndx, lax, m), lpt2[n0] = mklp(0, m5, LP_FREE, m6), avol0[n] = unmapped, keyset(gch) = gc-heap(lpt2, nx + n '), remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, ginval ∩ elems nx = ∅, ginval < # avol0, n0 < # avol0, n < # avol0, abs-istore(avol0, lpt2, istore), awbuf-inv(avol0, buffered(n)), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(false, buffered(n), lpt2, avol0), bufs-log-only(buffered(n), nx + n ', lpt2), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt2, n0 ' + nx0), inv(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), inv(groupblock(gndx, lax, m)), log-group-block(nx + n ', lpt2), lpt-free-unref(lpt2), lpt-free-unref(lpt0), lpt-leb-size(lpt2), lpt-leb-size(lpt0), lpt-ram-flash(lpt2, lpt0, nx + n '), synced(avol0), n ∈ gstore, istore0 ⊑ istore, ∀ n. (n < # avol0 ∧ lpt2[n].flags = LP_GROUP_NODES ↔ n ∈ gstore) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol0[n], gstore[n], lpt2[n])) ∧ (n ∈ gstore → lpt2[n].ref-size = gstore[n].ref-size) ⊦ n = n0, dups(nx), n ∈ ginval, n ∈ nx

User applied rule all left

And obtained the following new goals

Proof step 144:
# lpt0 = # avol0, # lpt2 = # avol0, (elems nx ∪ dom gstore0) ++ n = dom gstore ∪ ginval, n < # avol0 ∧ lpt2[n].flags = LP_GROUP_NODES ↔ n ∈ gstore, avol0[n] = unmapped, lpt2[n0] = mklp(0, m5, LP_FREE, m6), gstore[n] = groupblock(gndx, lax, m), lpt2[n] = mklp(m, m0, LP_GROUP_NODES, m1), keyset(gch) = gc-heap(lpt2, nx + n '), remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, ginval ∩ elems nx = ∅, n < # avol0, n0 < # avol0, ginval < # avol0, abs-istore(avol0, lpt2, istore), awbuf-inv(avol0, buffered(n)), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(false, buffered(n), lpt2, avol0), bufs-log-only(buffered(n), nx + n ', lpt2), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt2, n0 ' + nx0), inv(groupblock(gndx, lax, m)), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), log-group-block(nx + n ', lpt2), lpt-free-unref(lpt0), lpt-free-unref(lpt2), lpt-leb-size(lpt0), lpt-leb-size(lpt2), lpt-ram-flash(lpt2, lpt0, nx + n '), synced(avol0), n ∈ gstore, istore0 ⊑ istore, n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol0[n], gstore[n], lpt2[n]), n ∈ gstore → lpt2[n].ref-size = gstore[n].ref-size ⊦ n = n0, dups(nx), n ∈ nx, n ∈ ginval

Rule argument

pos: left 36 terms: n abort: F discard: T computed: T

Additional information

Used terms: n