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Proof step 34 from proof content-write (previous step)

# buf = VFS_PAGE_SIZE, (m1 * VFS_PAGE_SIZE + n3) + VFS_PAGE_SIZE = 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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 35:
⊦ (m + n0) + n1 = m + n0 + n1
Proof step 36:
# 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

Rule argument

spec: nat-basic name: a seq: ⊦ (m + n0) + n1 = m + n0 + n1 subst: [n1, n0, m] → [n3, m1 * VFS_PAGE_SIZE, VFS_PAGE_SIZE] flags: <rotated> <all paths>

Additional information

Used simplifier rules: a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic Used terms: n3, m1 * VFS_PAGE_SIZE, VFS_PAGE_SIZE