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Proof step 32 from proof range-eq-validtrailer (previous step)

is-aligned(# buf, NODE_HEADER_SIZE), is-aligned(m, NODE_HEADER_SIZE), range=(buf, m, validtrailer, 0, NODE_HEADER_SIZE) ⊦ m + NODE_HEADER_SIZE ≤ #(buf + mkempbuf(n)) ∧ 0 + NODE_HEADER_SIZE ≤ # validtrailer ∧ (∀ n2. n2 < NODE_HEADER_SIZE → (buf + mkempbuf(n))[m + n2] = (validtrailer)[0 + n2])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
is-aligned(m, NODE_HEADER_SIZE), is-aligned(# buf, NODE_HEADER_SIZE), range=(buf, m, validtrailer, 0, NODE_HEADER_SIZE) ⊦ m + NODE_HEADER_SIZE ≤ # buf + n ∧ (n0 < NODE_HEADER_SIZE → (buf + mkempbuf(n))[m + n0] = (validtrailer)[n0])

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ m; (s)% ⊦ # validtrailer = NODE_HEADER_SIZE; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ # mkempbuf(n) = n; (s)% ⊦ #(buf + buf0) = # buf + # buf0; (s)