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Proof step 29 from proof truncate-inv (previous step)

⟨afs_truncate_internal#(m, m / VFS_PAGE_SIZE; inode, buf-opt, ino0, ino, isdir, err, dirs, files1; asynced)⟩ ( inode = inode0 ∧ buf-opt = buf-opt1 ∧ ino0 = ino2 ∧ ino = ino3 ∧ (isdir ↔ isdir0) ∧ err = err0 ∧ dirs = dirs0 ∧ files1 = files0 ∧ (asynced ↔ asynced1)), # links(ino1, dirs) = m1, files1[ino1] = mkfile(m, md0, m1, content), files1[ino1] = mkfile(m0, md, m1, content0), buf-opt = none, ino = 0, ino0 = 0, inode = mkinode(ino1, md0, false, m1, 0, m), afs-cons(dirs, files1), afs-cons(dirs0, files0), files1 ~ files0, ino1 ∈ files1, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ (err0 = ESUCCESS ⊃ files0[ino1].content.stream from m = σ⊥ ∧ (n0 ≤ # buf → ino1 ∈ files0 ∧ files0[ino1].size = m) ∧ files1 -- ino1 = files0 -- ino1 ;⌊err0⌋ ) ∧ inode0 = mkinode(ino1, md0, false, m1, 0, m)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 30:
⟨afs_truncate_internal#(m0, m0 / VFS_PAGE_SIZE; inode, buf-opt, ino0, ino, isdir, err, dirs, files1; asynced)⟩ ( inode = inode0 ∧ buf-opt = buf-opt1 ∧ ino0 = ino2 ∧ ino = ino3 ∧ (isdir ↔ isdir0) ∧ err = err0 ∧ dirs = dirs0 ∧ files1 = files0 ∧ (asynced ↔ asynced1)), files1[ino1] = mkfile(m0, md, # links(ino1, dirs), content0), buf-opt = none, ino = 0, ino0 = 0, inode = mkinode(ino1, md, false, # links(ino1, dirs), 0, m0), afs-cons(dirs0, files0), afs-cons(dirs, files1), files1 ~ files0, ino1 ∈ files1, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ (err0 = ESUCCESS ⊃ files0[ino1].content.stream from m0 = σ⊥ ∧ (n0 ≤ # buf → ino1 ∈ files0 ∧ files0[ino1].size = m0) ∧ files1 -- ino1 = files0 -- ino1 ;⌊err0⌋ ) ∧ inode0 = mkinode(ino1, md, false, # links(ino1, dirs), 0, m0)

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0; (ws)