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Proof step 26 from proof valid-content-reduce (previous step)

files1[ino] = mkfile(m, md, m0, content), n ∈ content, ino ∈ files1, m ≤ n * VFS_PAGE_SIZE, (ino ∈ files0 ∧ n ∈ files0[ino].content → n * VFS_PAGE_SIZE < files0[ino].size) → ino ∈ files1 ∧ n ∈ files1[ino].content → n * VFS_PAGE_SIZE < files1[ino].size, ∀ ino. ino ∈ files0 → valid-content(ino, files0) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
files1[ino] = mkfile(m, md, m0, content), n ∈ content, ino ∈ files1, ino ∈ files0, n ∈ files0[ino].content, m ≤ n * VFS_PAGE_SIZE, files0[ino].size ≤ n * VFS_PAGE_SIZE, ∀ ino. ino ∈ files0 → valid-content(ino, files0) ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m ≤ n → (n < m ↔ false); (s)% ⊦ mkfile(m, md, m0, content).size = m; (s)% ⊦ mkfile(m, md, m0, content).content = content; (s)