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Proof step 6 from proof inv-write-buf-destroy (previous step)

avol[n] = mapped(buf0), n < # avol, # buf0 ≤ LEB_SIZE → # buf ≤ LEB_SIZE ∧ is-aligned(# buf, EB_PAGE_SIZE), ∀ n0. n0 < # avol ∧ avol[n0].mapped? → # avol[n0].data ≤ LEB_SIZE ∧ (n0 ≠ n → is-aligned(# avol[n0].data, EB_PAGE_SIZE)) ⊦ ∀ n0. n0 < # avol ∧ avol[n, mapped(buf)][n0].mapped? → # avol[n, mapped(buf)][n0].data ≤ LEB_SIZE ∧ is-aligned(# avol[n, mapped(buf)][n0].data, EB_PAGE_SIZE)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
avol[n, mapped(buf)][n0] = mapped(buf1), avol[n] = mapped(buf0), n0 < # avol, n < # avol, # buf0 ≤ LEB_SIZE → # buf ≤ LEB_SIZE ∧ is-aligned(# buf, EB_PAGE_SIZE), ∀ n0. n0 < # avol ∧ avol[n0].mapped? → # avol[n0].data ≤ LEB_SIZE ∧ (n0 ≠ n → is-aligned(# avol[n0].data, EB_PAGE_SIZE)) ⊦ # buf1 ≤ LEB_SIZE ∧ is-aligned(# buf1, EB_PAGE_SIZE)

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).data = buf; (s)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)