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Proof step 3 from proof synced-write (previous step)

∀ n. n < # avol ∧ avol[n].mapped? → is-aligned(# avol[n].data, EB_PAGE_SIZE) ⊦ (∀ n0. n0 < # avol ∧ avol[n, mapped(buf)][n0].mapped? → is-aligned(# avol[n, mapped(buf)][n0].data, EB_PAGE_SIZE)) ↔ # avol ≤ n ∨ is-aligned(# buf, EB_PAGE_SIZE)

User applied rule case distinction

And obtained the following new goals

Proof step 4:
∀ n. n < # avol ∧ avol[n].mapped? → is-aligned(# avol[n].data, EB_PAGE_SIZE), ∀ n0. n0 < # avol ∧ avol[n, mapped(buf)][n0].mapped? → is-aligned(# avol[n, mapped(buf)][n0].data, EB_PAGE_SIZE) ⊦ is-aligned(# buf, EB_PAGE_SIZE), # avol ≤ n
Proof step 6:
∀ n. n < # avol ∧ avol[n].mapped? → is-aligned(# avol[n].data, EB_PAGE_SIZE), # avol ≤ n ∨ is-aligned(# buf, EB_PAGE_SIZE) ⊦ ∀ n0. n0 < # avol ∧ avol[n, mapped(buf)][n0].mapped? → is-aligned(# avol[n, mapped(buf)][n0].data, EB_PAGE_SIZE)

Rule argument

pos: right 1

Proof step 3 from proof synced-write (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information