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Proof step 24 from proof write-inode-inv (previous step)

files1 -- ino = files0 -- ino, files1[ino] = mkfile(m, md, # links(ino, dirs), content), files0[ino] = mkfile(m, md, m0, content0), afs-cons(dirs, files1), write-inv(0, n1, buf, n, content0, content), ino ∈ files1, ino ∈ files0, n ≤ n1, n1 ≤ # buf, n ≤ # buf ⊦ write-inv (0, n1, mkinode(ino, md, false, # links(ino, dirs), 0, m + n), buf, n, dirs, files0[ino, files0[ino].size:= (m + n)], files1[ino, mkfile(m + n, md, # links(ino, dirs), content)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
files1 -- ino = files0 -- ino, files1[ino] = mkfile(m, md, # links(ino, dirs), content), files0[ino] = mkfile(m, md, m0, content0), afs-cons(dirs, files1), write-inv(0, n1, buf, n, content0, content), ino ∈ files1, ino ∈ files0, n ≤ n1, n1 ≤ # buf, n ≤ # buf ⊦ write-inv (0, n1, mkinode(ino, md, false, # links(ino, dirs), 0, m + n), buf, n, dirs, files0[ino, mkfile(m + n, md, m0, content0)], files1[ino, mkfile(m + n, md, # links(ino, dirs), content)])

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).size:= m1 = mkfile(m1, md, m0, content); (s)