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Proof step 88 from proof truncate-same-iso (previous step)

files1[ino0] = mkfile(m2, md0, # links(ino0, dirs), content0), afs-cons(dirs, files1), ino0 ∈ files1 ⊦ files1 ~ files1[ino0, mkfile(m2, md0, # links(ino0, dirs), content0 upto m2)], m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 89:
⊦ files0 ~ files1 ↔ (∀ 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))
Proof step 90:
files1[ino0] = mkfile(m2, md0, # links(ino0, dirs), content0), afs-cons(dirs, files1), ino0 ∈ files1 ⊦ ∀ ino. (ino ∈ files1 ↔ ino ∈ files1[ino0, mkfile(m2, md0, # links(ino0, dirs), content0 upto m2)]) ∧ ( ino ∈ files1 → files1[ino].size = files1[ino0, mkfile(m2, md0, # links(ino0, dirs), content0 upto m2)][ino].size ∧ files1[ino].meta = files1[ino0, mkfile(m2, md0, # links(ino0, dirs), content0 upto m2)][ino].meta ∧ files1[ino].nlink = files1[ino0, mkfile(m2, md0, # links(ino0, dirs), content0 upto m2)][ino].nlink ∧ files1[ino].content.stream to files1[ino].size = files1[ino0, mkfile(m2, md0, # links(ino0, dirs), content0 upto m2)][ino].content.stream to files1[ino0, mkfile(m2, md0, # links(ino0, dirs), content0 upto m2)][ino].size), m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content0

Rule argument

spec: afs-stream name: files-iso seq: ⊦ files0 ~ files1 ↔ (∀ 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)) subst: [files1, files0] → [files1 [ino0, mkfile(m2, md0, # links(ino0, dirs), content0 upto m2) ], files1] flags: <all paths>

Additional information

Used terms: files1[ino0, mkfile(m2, md0, # links(ino0, dirs), content0 upto m2)], files1