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Proof step 12 from proof content-trunc (previous step)

n2 < VFS_PAGE_SIZE, n1 < VFS_PAGE_SIZE, VFS_PAGE_SIZE + VFS_PAGE_SIZE * n0 ≤ n2 + m0 * VFS_PAGE_SIZE ⊦ (m0 * VFS_PAGE_SIZE < n0 * VFS_PAGE_SIZE + n1 ∧ m0 ∈ content ⊃ content[m0];zeropage)[n2] = zero, n1 = 0

User applied rule case distinction

And obtained the following new goals

Proof step 13:
n1 < VFS_PAGE_SIZE, n2 < VFS_PAGE_SIZE, m0 * VFS_PAGE_SIZE < n0 * VFS_PAGE_SIZE + n1, m0 ∈ content, VFS_PAGE_SIZE + VFS_PAGE_SIZE * n0 ≤ n2 + m0 * VFS_PAGE_SIZE ⊦ content[m0][n2] = zero, n1 = 0

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ n < VFS_PAGE_SIZE → (zeropage)[n] = zero; (s)