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Proof step 42 from proof inv-write (previous step)

LEB_SIZE = (n0 + n) + m1, LEB_SIZE = n1 + m1 + n, m2 < # avols[v], ebm-cons(avols), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), v ∈ avols, n + m1 ≤ LEB_SIZE, m1 ≤ LEB_SIZE, n2 + n ≤ # buf, m1 + n ≤ LEB_SIZE, n + n2 ≤ # buf ⊦ avols[v][m2].mapped?, range=(mkempbuf(m1) + subarray(buf, n2, n) + mkempbuf(n0), m1 + n, emptyleb, 0, n1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
LEB_SIZE = n1 + m1 + n, m2 < # avols[v], ebm-cons(avols), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), v ∈ avols, n + m1 ≤ LEB_SIZE, m1 ≤ LEB_SIZE, n2 + n ≤ # buf, m1 + n ≤ LEB_SIZE, n + n2 ≤ # buf ⊦ avols[v][m2].mapped?, range=(mkempbuf(m1) + subarray(buf, n2, n) + mkempbuf(n1), m1 + n, emptyleb, 0, n1)

Rule argument

Additional information

Used simplifier rules: eqs: ⊦ m = n + n0 ∧ m = n + n1 → n0 = n1; (forward) from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic