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Proof step 8 from proof inv-write (previous step)

buf0 = buf, m3 = m2, m4 = m1, n1 = n, n2 = n0, v0 = default-volid, m2 < # avols[default-volid], ebm-cons(avols), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), default-volid ∈ avols, m1 + n ≤ LEB_SIZE, n + n0 ≤ # buf, avols[default-volid][m2].mapped? → avols[default-volid][m2].fill ≤ m1, avols[default-volid][m2].mapped? → m1 ≥ avols[default-volid][m2].fill ⊦ [ebm_write#(default-volid, m2, m1, n0, n, buf; avols; err)] (ebm-cons(avols) → default-volid ∈ avols ∧ ebm-cons(avols))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
m2 < # avols[default-volid], ebm-cons(avols), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), default-volid ∈ avols, n + n0 ≤ # buf, m1 + n ≤ LEB_SIZE, avols[default-volid][m2].mapped? → avols[default-volid][m2].fill ≤ m1 ⊦ [ebm_write#(default-volid, m2, m1, n0, n, buf; avols; err)] (ebm-cons(avols) → default-volid ∈ avols)

Rule argument

Additional information

Used simplifier rules: ⊦ n ≥ m ↔ m ≤ n; (s)