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Proof step 7 from proof crash-neutral-truncate (previous step)

root.dir?, fids-cons(root, fs, ofh), posix-crash(root, fs, ofh, tree, fs0, ofh0) ⊦ pre-truncate(path, n, EFAIL, user, root, fs, ofh) ∧ ⟨err0 := EFAIL; if err0 = ESUCCESS then let fid = root[path].fid in let buf = fs[fid].content in fs[fid] := mkfile(fs[fid].meta, resize(buf, n)); psynced := ?⟩ (psynced ∧ posix-crash(root, fs, ofh, tree, fs0, ofh0)), ∃ err. pre-truncate(path, n, err, user, root, fs, ofh) ∧ ⟨err0 := err; if err0 = ESUCCESS then let fid = root[path].fid in let buf = fs[fid].content in fs[fid] := mkfile(fs[fid].meta, resize(buf, n)); psynced := ?⟩ (psynced ∧ posix-crash(root, fs, ofh, tree, fs0, ofh0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
root.dir?, fids-cons(root, fs, ofh), posix-crash(root, fs, ofh, tree, fs0, ofh0) ⊦ ∃ err. pre-truncate(path, n, err, user, root, fs, ofh) ∧ ⟨err0 := err; if err0 = ESUCCESS then let fid = root[path].fid in let buf = fs[fid].content in fs[fid] := mkfile(fs[fid].meta, resize(buf, n)); psynced := ?⟩ (psynced ∧ posix-crash(root, fs, ofh, tree, fs0, ofh0)), ⟨err0 := EFAIL; if err0 = ESUCCESS then let fid = root[path].fid in let buf = fs[fid].content in fs[fid] := mkfile(fs[fid].meta, resize(buf, n)); psynced := ?⟩ (psynced ∧ posix-crash(root, fs, ofh, tree, fs0, ofh0))

Rule argument

Additional information

Used simplifier rules: ⊦ pre-truncate(p, n, EFAIL, user, root, fs, ofh); (s)