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Proof step 26 from proof inv-seek (previous step)

err = ESUCCESS, err0 = err1, fh = ofh[fd], root.dir?, fids-cons(root, fs, ofh), pre-seek(fd, n, whence, err, user, root, fs, ofh), fd ∈ ofh ⊦ fh.fid ∈ fs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
root.dir?, fids-cons(root, fs, ofh), fd ∈ ofh ⊦ ofh[fd].fid ∈ fs

Rule argument

Additional information

Used simplifier rules: ⊦ pre-seek(fd, n, whence, ESUCCESS, user, root, fs, ofh) ↔ fd ∈ ofh; (s)