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Proof step 14 from proof content-trunc (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ m < n ↔ (∃ m0. m + m0 = n ∧ m0 ≠ 0)
Proof step 16:
m0 * VFS_PAGE_SIZE < n0 * VFS_PAGE_SIZE + n1, n1 < VFS_PAGE_SIZE, m0 ∈ content, VFS_PAGE_SIZE + VFS_PAGE_SIZE * n0 ≤ n2 + m0 * VFS_PAGE_SIZE, ∃ m0. n2 + m0 = VFS_PAGE_SIZE ∧ m0 ≠ 0 ⊦ content[m0][n2] = zero, n1 = 0

Rule argument

spec: nat-basic name: addex seq: ⊦ m < n ↔ (∃ m0. m + m0 = n ∧ m0 ≠ 0) subst: [n, m] → [VFS_PAGE_SIZE, n2] flags: <all paths>

Additional information

Used terms: VFS_PAGE_SIZE, n2