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Proof step 2 from proof synced-map (previous step)

synced(avol) ⊦ synced(avol[n, mapped(mkbuf(0))]) ↔ true

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
avol[n, mapped(mkbuf(0))][n0] = mapped(buf), n0 < # avol, ∀ n. n < # avol ∧ avol[n].mapped? → is-aligned(# avol[n].data, EB_PAGE_SIZE) ⊦ is-aligned(# buf, EB_PAGE_SIZE)

Rule argument

Additional information

Used simplifier rules: synced: ⊦ synced(avol) ↔ (∀ n. n < # avol ∧ avol[n].mapped? → is-aligned(# avol[n].data, EB_PAGE_SIZE));% ⊦ mapped(buf).data = buf; (s)% ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)% ⊦ # avol[n, aleb] = # avol; (s)