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Proof step 3 from proof write-inv-rec (previous step)

write-inv(n0, n1, mkinode(ino, md, boolvar, m0, m3, m1), buf, n, dirs, files0, files1), n + m ≤ # buf, m + (n0 + n) % VFS_PAGE_SIZE ≤ VFS_PAGE_SIZE ⊦ write-inv (n0, n1, buf, n + m, files0[ino].content, files1[ino].content[(n0 + n) / VFS_PAGE_SIZE, copy(buf, n, getpage((n0 + n) / VFS_PAGE_SIZE, files1[ino].content), (n0 + n) % VFS_PAGE_SIZE, m)])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
files0[ino] = mkfile(m2, md0, m4, content), write-inv(n0, n1, mkinode(ino, md, boolvar, m0, m3, m1), buf, n, dirs, files0, files1), m + (n0 + n) % VFS_PAGE_SIZE ≤ VFS_PAGE_SIZE, n + m ≤ # buf ⊦ write-inv (n0, n1, buf, n + m, content, files1[ino].content[(n0 + n) / VFS_PAGE_SIZE, copy(buf, n, getpage((n0 + n) / VFS_PAGE_SIZE, files1[ino].content), (n0 + n) % VFS_PAGE_SIZE, m)])

Rule argument

spec: abstract-file name: elim seq: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content) subst: [af, m, md, m0, content] → [files0[ino], m2, md0, m3, content]

Additional information

Used simplifier rules: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content); (elim) Used terms: files0[ino], m2, md0, m3, content