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View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 13 from proof iso-trans (previous step)

files0[ino] = mkfile(m, md, m0, content), files2[ino] = mkfile(m1, md0, m2, content0), ∀ ino. (ino ∈ files1 ↔ ino ∈ files2) ∧ ( ino ∈ files1 → files1[ino].size = files2[ino].size ∧ files1[ino].meta = files2[ino].meta ∧ files1[ino].nlink = files2[ino].nlink ∧ files1[ino].content.stream to files1[ino].size = files2[ino].content.stream to files2[ino].size), ∀ ino. (ino ∈ files0 ↔ ino ∈ files1) ∧ ( ino ∈ files0 → files0[ino].size = files1[ino].size ∧ files0[ino].meta = files1[ino].meta ∧ files0[ino].nlink = files1[ino].nlink ∧ files0[ino].content.stream to files0[ino].size = files1[ino].content.stream to files1[ino].size) ⊦ (ino ∈ files0 ↔ ino ∈ files2) ∧ ( ino ∈ files0 → m = m1 ∧ md = md0 ∧ m0 = m2 ∧ (λ n. (n / VFS_PAGE_SIZE ∈ content ⊃ content[n / VFS_PAGE_SIZE];zeropage)[n % VFS_PAGE_SIZE]) to m1 = (λ n. (n / VFS_PAGE_SIZE ∈ content0 ⊃ content0[n / VFS_PAGE_SIZE];zeropage)[n % VFS_PAGE_SIZE]) to m1)

User applied rule all left

And obtained the following new goals

Rule argument

pos: left 4 terms: ino abort: F discard: T computed: T

Additional information

Used terms: ino