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Proof step 36 from proof content-write (previous step)

# buf = VFS_PAGE_SIZE, (VFS_PAGE_SIZE + m1 * VFS_PAGE_SIZE) + n3 = m0 * VFS_PAGE_SIZE + n0, n3 < VFS_PAGE_SIZE, n0 < VFS_PAGE_SIZE ⊦ (n + m0 ∈ content ⊃ content[n + m0];zeropage)[n0] = (m0 + n ∈ content ⊃ content[m0 + n];zeropage)[n3], m0 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 37:
⊦ (* m0) * m + m = (m0 + 1) * m
Proof step 38:
# buf = VFS_PAGE_SIZE, (m1 + 1) * VFS_PAGE_SIZE + n3 = m0 * VFS_PAGE_SIZE + n0, n0 < VFS_PAGE_SIZE, n3 < VFS_PAGE_SIZE ⊦ (n + m0 ∈ content ⊃ content[n + m0];zeropage)[n0] = (m0 + n ∈ content ⊃ content[m0 + n];zeropage)[n3], m0 = 0

Rule argument

spec: nat-mult name: succ seq: ⊦ (* m0) * m + m = (m0 + 1) * m subst: [m, m0] → [VFS_PAGE_SIZE, m1] flags: <all paths>

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic Used terms: VFS_PAGE_SIZE, m1