[Imprint][Data Privacy Statement][E-Mail]



View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 53 from proof refine-check-commit (previous step)

⟨fail#(; ; err)⟩ (err = err1), p_os.keys = p_os0.keys, abs-log(nx0, gstore0 ↓) = abs-log(nx, gstore2 ↓), nodes(gstore0 ↓, jro) = nodes(gstore2 ↓, jro2), remove-refsize0(gstore1) = gstore1, elems nx ∩ jro2 = ∅, dom remove-refsize0(gstore2) ∩ jro2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro2, jmaxino ≠ 0, pmaxino ≠ 0, jro1.keys.inodes?, p_os0.keys.inodes?, ri.inos < jmaxino, p_os < pmaxino, jro1 < jmaxino, fi1.inos < pmaxino, inv(gstore1), inv(gstore2 \ jro2), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro2)), refsize-cons(gstore2, range ri), refsize-cons(gstore1, range fi1), ri-cons(ri, nodes(gstore2 ↓, jro2)), ri-inj(ri), ri-inj(fi1), pmaxino ≤ jmaxino, ri.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, ¬ dups(nx), jvalid4 → jvalid3, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro2), jvalid2 → jvalid0 ⊦ ∃ as. as ∩ range ri = ∅ ∧ ⟨fi := ri, fo := jro1.keys, fs := nodes(gstore2 ↓, jro2) \ as, log := [], err := ESUCCESS; jvalid5 := true⟩ (p_os0.keys = fo ∧ fi1 = fi ∧ log = abs-log(nx, gstore2 ↓) ∧ fs = nodes(gstore2 ↓, jro2) ∧ (jvalid5 → jvalid3) ∧ err1 = err), ∃ err0. ⌊err0⌋ ∧ ⟨err := err0; jvalid5 := ?⟩ ((jvalid5 → jvalid3) ∧ err1 = err), (jvalid2 → jvalid3) ∧ err1 = ESUCCESS

Heuristic unfold applied rule call left

And obtained the following new goals

Rule argument

pos: left 1

Additional information

Used simplifier rules: fail#(; ; ERR){choose ERR0 with ⌊ERR0⌋ in ERR := ERR0};