| jvalid ↔ jvalid2, adr = @(m, m0, m1), fi = fi1, fo = p_os.keys, fs = nodes(gstore2 ↓, jro0), log = abs-log(nx, gstore2 ↓), nd = nd0, nd1 = nd0, remove-refsize0(gstore1) = gstore1, ro = jro1.keys, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, p_os.keys.inodes?, jro1.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino, p_os < pmaxino, jro1 < jmaxino, inv(gstore1), inv(gstore2 \ jro0), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro0)), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range ri), ri-inj(fi1), ri-inj(ri), @(m, m0, m1) ∈ nodes(gstore2 ↓, jro0), @(m, m0, m1) ∈ gstore2, pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore1, ri.lebs ⊆ dom gstore2, ⌊err0⌋ , jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0), jvalid2 → jvalid0 ⊦ ⟨fail#(; ; err)⟩ ((jvalid2 → jvalid0) ∧ nd1 = nd ∧ err0 = err), ⟨nd := fs[adr], err := ESUCCESS⟩ ((jvalid2 → jvalid0) ∧ nd1 = nd ∧ err0 = err), jmaxino = 0, pmaxino = 0, dups(nx), m ∈ jro0 |
jvalid ↔ jvalid2, adr = @(m, m0, m1), fi = fi1, fo = p_os.keys, fs = nodes(gstore2 ↓, jro0), log = abs-log(nx, gstore2 ↓), nd = nd0, nd1 = nd0, remove-refsize0(gstore1) = gstore1, ro = jro1.keys, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, jro1.keys.inodes?, p_os.keys.inodes?, jro1 < jmaxino, p_os < pmaxino, ri.inos < jmaxino, fi1.inos < pmaxino, inv(gstore2 \ jro0), inv(gstore1), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro0)), refsize-cons(gstore2, range ri), refsize-cons(gstore1, range fi1), ri-inj(ri), ri-inj(fi1), adr ∈ fs, @(m, m0, m1) ∈ gstore2, @(m, m0, m1) ∈ nodes(gstore2 ↓, jro0), pmaxino ≤ jmaxino, ri.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, ⌊err0⌋ , jvalid2 → jvalid0, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0) ⊦ ⟨fail#(; ; err)⟩ ((jvalid2 → jvalid0) ∧ nd1 = nd ∧ err0 = err), jmaxino = 0, pmaxino = 0, dups(nx), m ∈ jro0, (jvalid2 → jvalid0) ∧ nd1 = fs[adr] ∧ err0 = ESUCCESS