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Proof step 25 from proof inv-read (previous step)

of[fd] = mkfile(m, mode, m0), err = ESUCCESS, ino3 = 0, dom of < ino2, afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of, n ≤ # buf, m0 ≤ files[m].size ⊦ ⟪vfs_read_loop#(m0, m0 + n, mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size), false, dirs, files, asynced; buf, ino3, err); if ino3 ≠ 0 then err := ESUCCESS; of[fd].pos := of[fd].pos + ino3; n := ino3⟫ (of-cons(of, dirs, files) ∧ dom of < ino2), mode ≠ MODE_R ∧ mode ≠ MODE_RW

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 26:
of[fd] = mkfile(m, mode, m0), files[m] = mkfile(m1, md, m2, content), err = ESUCCESS, ino3 = 0, dom of < ino2, afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of, m0 ≤ m1, n ≤ # buf ⊦ ⟪vfs_read_loop#(m0, m0 + n, mkinode(m, md, false, m2, 0, m1), false, dirs, files, asynced; buf, ino3, err); if ino3 ≠ 0 then err := ESUCCESS; of[fd].pos := of[fd].pos + ino3; n := ino3⟫ (of-cons(of, dirs, files) ∧ dom of < ino2), mode ≠ MODE_R ∧ mode ≠ MODE_RW

Rule argument

spec: abstract-file name: elim seq: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content) subst: [af, m, md, m0, content] → [files[m], m1, md, m2, content]

Additional information

Used simplifier rules: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content); (elim) Used terms: files[m], m1, md, m2, content