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Proof step 110 from proof truncate-inv (previous step)

files2[ino4] = mkfile(m2 * VFS_PAGE_SIZE + n0, md, # links(ino4, dirs0), content0), buf = buf0, buf-opt = none, buf-opt = buf-opt0, content = content0, content = content2, pageno = pageno1, n0 < VFS_PAGE_SIZE, afs-cons(dirs0, files2[ino4, mkfile(m2 * VFS_PAGE_SIZE + n0, md, # links(ino4, dirs0), content2 upto (m2 * VFS_PAGE_SIZE + n0))]), afs-cons(dirs0, files2), files2 ~ files2[ino4, mkfile(m2 * VFS_PAGE_SIZE + n0, md, # links(ino4, dirs0), content2 upto (m2 * VFS_PAGE_SIZE + n0))], ino4 ∈ files2 ⊦ (content2.stream to VFS_PAGE_SIZE * m2 + VFS_PAGE_SIZE) + σ⊥ from m2 * VFS_PAGE_SIZE + n0 = σ⊥, n0 = 0, m2 ∈ content0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 111:
files2[ino4] = mkfile(m2 * VFS_PAGE_SIZE + n0, md, # links(ino4, dirs0), content0), n0 < VFS_PAGE_SIZE, afs-cons(dirs0, files2), afs-cons(dirs0, files2[ino4, mkfile(m2 * VFS_PAGE_SIZE + n0, md, # links(ino4, dirs0), content0 upto (m2 * VFS_PAGE_SIZE + n0))]), files2 ~ files2[ino4, mkfile(m2 * VFS_PAGE_SIZE + n0, md, # links(ino4, dirs0), content0 upto (m2 * VFS_PAGE_SIZE + n0))], ino4 ∈ files2 ⊦ ((content0.stream to VFS_PAGE_SIZE * m2) + (σ⊥ to VFS_PAGE_SIZE)) + σ⊥ from m2 * VFS_PAGE_SIZE + n0 = σ⊥, n0 = 0, m2 ∈ content0

Rule argument

Additional information

Used simplifier rules: append-assoc: ⊦ (σ0 + σ3) + σ4 = σ0 + σ3 + σ4; from specification stream[buffer-inf]%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%⊦ ¬ m ∈ content → content.stream to m * VFS_PAGE_SIZE + VFS_PAGE_SIZE = (content.stream to m * VFS_PAGE_SIZE) + (σ⊥ to VFS_PAGE_SIZE); (s)