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Proof step 2 from proof upto-stream (previous step)

⊦ (λ n. (n / VFS_PAGE_SIZE * VFS_PAGE_SIZE < m ∧ n / VFS_PAGE_SIZE ∈ content ⊃ content[n / VFS_PAGE_SIZE];zeropage)[n % VFS_PAGE_SIZE]) to m = (λ n. (n / VFS_PAGE_SIZE ∈ content ⊃ content[n / VFS_PAGE_SIZE];zeropage)[n % VFS_PAGE_SIZE]) to m

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: list-del, inst: buffer-inf name: extension seq: ⊦ dx = dx0 ↔ # dx = # dx0 ∧ (∀ n. n < # dx → dx[n] = dx0[n]) subst: [dx0, dx] → [ (λ n. (n / VFS_PAGE_SIZE ∈ content ⊃ content[n / VFS_PAGE_SIZE] ;zeropage ) [n % VFS_PAGE_SIZE ]) to m, (λ n. ( n / VFS_PAGE_SIZE * VFS_PAGE_SIZE < m ∧ n / VFS_PAGE_SIZE ∈ content ⊃ content[n / VFS_PAGE_SIZE] ;zeropage ) [n % VFS_PAGE_SIZE ]) to m] flags: <all paths>

Additional information

Used terms: (λ n. (n / VFS_PAGE_SIZE ∈ content ⊃ content[n / VFS_PAGE_SIZE] ;zeropage ) [n % VFS_PAGE_SIZE ]) to m, (λ n. ( n / VFS_PAGE_SIZE * VFS_PAGE_SIZE < m ∧ n / VFS_PAGE_SIZE ∈ content ⊃ content[n / VFS_PAGE_SIZE] ;zeropage ) [n % VFS_PAGE_SIZE ]) to m