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Proof step 16 from proof valid-content-reduce (previous step)

files1[ino] = mkfile(m, md, m0, content), files0[ino] = mkfile(m1, md0, m2, content0), ino ∈ files1, n ∈ content, m ≤ n * VFS_PAGE_SIZE, ino ∈ files0 ∧ n ∈ content0 → n * VFS_PAGE_SIZE < m1, ∀ ino. ino ∈ files1 → valid-content(ino, files1), ∀ ino. ino ∈ files0 → valid-content(ino, files0), ∀ n0. n0 ∈ content → n0 * VFS_PAGE_SIZE < m ⊦

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 9 terms: n

Additional information

Used simplifier rules: ⊦ m ≤ n → (n < m ↔ false); (s) Used terms: n