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Proof step 2 from proof crash-neutral-open (previous step)

psynced, root.dir?, fids-cons(root, fs, ofh), posix-crash(root, fs, ofh, tree, fs0, ofh0) ⊦ ⟨posix_open#(path, mode, user, root, fs; fd, err, ofh)⟩ (psynced ∧ posix-crash(root, fs, ofh, tree, fs0, ofh0))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 3:
⊦
Proof step 4:
err0 = err, psynced, root.dir?, fids-cons(root, fs, ofh), posix-crash(root, fs, ofh, tree, fs0, ofh0) ⊦ ⟨choose err with pre-open(path, mode, err, user, root, fs, ofh) in err0 := err; if err0 = ESUCCESS then let fid = root[path].fid in choose n with ¬ n ∈ ofh in {ofh[n] := mkfh(fid, mode, 0); fd := n}⟩ (psynced ∧ posix-crash(root, fs, ofh, tree, fs0, ofh0))

Rule argument

pos: right 1

Additional information

Used simplifier rules: open: ⊦ ;