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Proof step 5 from proof read-inv-post (previous step)

# buf0 = # buf1, files[mkinode(ino, md, false, m0, 0, m).ino].size = mkinode(ino, md, false, m0, 0, m).size, files[ino] = mkfile(m, md, m1, content), afs-cons(dirs, files), read-inv(n0, n1, buf0, buf1, n, files[mkinode(ino, md, false, m0, 0, m).ino].content), mkinode(ino, md, false, m0, 0, m).ino ∈ files, n0 + n ≤ n1, n0 + n ≤ mkinode(ino, md, false, m0, 0, m).size, n1 - n0 ≤ # buf0 ⊦ copy((content.stream to m).buf, n0, buf0, 0, n) = buf1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
# buf0 = # buf1, files[ino] = mkfile(m, md, # links(ino, dirs), content), afs-cons(dirs, files), read-inv(n0, n1, buf0, buf1, n, content), ino ∈ files, n0 + n ≤ n1, n0 + n ≤ m, n1 ≤ # buf1 + n0, n ≤ # buf1 ⊦ copy((content.stream to m).buf, n0, buf0, 0, n) = buf1

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).content = content; (s)% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)% ⊦ mkfile(m, md, m0, content).size = m; (s)%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat%n0 ≤ n ⊦ n - n0 ≤ m ↔ n ≤ m + n0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ ¬ m + n < m; (s)% ⊦ m < n → n ≠ 0; (s)%afs-cons-file-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n, content) → # links(ino, dirs) = n; (forward) from specification afs-base%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)