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Proof step 22 from proof inv-seek (previous step)

err = ESUCCESS, dom of < ino, afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of ⊦ ⟪afs_iget#(of[fd].ino, dirs, files, asynced; inode, err); if err = ESUCCESS then n := inode.size + n; if err = ESUCCESS then of[fd].pos := n⟫ (of-cons(of, dirs, files) ∧ dom of < ino)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 23:
of[fd] = mkfile(m, mode, m0), err = ESUCCESS, dom of < ino, afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of ⊦ ⟪afs_iget#(m, dirs, files, asynced; inode, err); if err = ESUCCESS then n := inode.size + n; if err = ESUCCESS then of[fd].pos := n⟫ (of-cons(of, dirs, files) ∧ dom of < ino)

Rule argument

spec: file name: elim seq: ⊦ (m = file.ino ∧ mode = file.mode) ∧ m0 = file.pos ↔ file = mkfile(m, mode, m0) subst: [file, m, mode, m0] → [of[fd], m, mode, m0]

Additional information

Used simplifier rules: ⊦ (m = file.ino ∧ mode = file.mode) ∧ m0 = file.pos ↔ file = mkfile(m, mode, m0); (elim) Used terms: of[fd], m, mode, m0