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Proof step 23 from proof valid-content-reduce (previous step)

ino ∈ files1, ∀ ino. ino ∈ files0 → valid-content(ino, files0), ∀ ino, n. (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 ⊦ ∀ n. n ∈ files1[ino].content → n * VFS_PAGE_SIZE < files1[ino].size

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 24:
n ∈ files1[ino].content, ino ∈ files1, files1[ino].size ≤ n * VFS_PAGE_SIZE, ∀ ino, n. (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) ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)