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Proof step 24 from proof content-trunc (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
⊦ m ≤ n ↔ (∃ n0. m + n0 = n)
Proof step 26:
n2 + m0 * VFS_PAGE_SIZE < VFS_PAGE_SIZE + VFS_PAGE_SIZE * n0, n1 < VFS_PAGE_SIZE, n2 < VFS_PAGE_SIZE, m0 ∈ content, ∃ n2. (n0 * VFS_PAGE_SIZE + n1) + n2 = m0 * VFS_PAGE_SIZE ⊦ n1 = 0, zero = content[m0][n2]

Rule argument

spec: nat name: le-addex seq: ⊦ m ≤ n ↔ (∃ n0. m + n0 = n) subst: [n, m] → [m0 * VFS_PAGE_SIZE, n0 * VFS_PAGE_SIZE + n1] flags: <all paths>

Additional information

Used terms: m0 * VFS_PAGE_SIZE, n0 * VFS_PAGE_SIZE + n1