[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 5 from proof crash-neutral-close (previous step)

err0 = err1, psynced, root.dir?, fids-cons(root, fs, ofh), posix-crash(root, fs, ofh, tree, fs0, ofh0) ⊦ ∃ err. pre-close(fd, err, user, root, fs, ofh) ∧ ⟨err0 := err; if err0 = ESUCCESS then let fid = ofh[fd].fid in {ofh := ofh -- fd; if ¬ fid ∈ ofh.fids ∧ ¬ fid ∈ root.fids then fs := fs -- fid}⟩ (psynced ∧ posix-crash(root, fs, ofh, tree, fs0, ofh0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
root.dir?, fids-cons(root, fs, ofh), posix-crash(root, fs, ofh, tree, fs0, ofh0) ⊦ ∃ err. pre-close(fd, err, user, root, fs, ofh) ∧ ⟨err0 := err; if err0 = ESUCCESS then let fid = ofh[fd].fid in {ofh := ofh -- fd; if ¬ fid ∈ ofh.fids ∧ ¬ fid ∈ root.fids then fs := fs -- fid}⟩ posix-crash(root, fs, ofh, tree, fs0, ofh0)

Proof step 5 from proof crash-neutral-close (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information