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Proof step 1 from proof zeropage-mod-pagesize (conclusion)

⊦ (zeropage)[n % VFS_PAGE_SIZE] = zero

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ n < VFS_PAGE_SIZE → (zeropage)[n] = zero

Rule argument

spec: page name: emptypage-at seq: ⊦ n < VFS_PAGE_SIZE → (zeropage)[n] = zero subst: [n] → [n % VFS_PAGE_SIZE] flags: <all paths>

Additional information

Used simplifier rules: ⊦ VFS_PAGE_SIZE ≠ 0; (s)%n ≠ 0 ⊦ m % n < n; (s) Used terms: n % VFS_PAGE_SIZE