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Proof step 65 from proof abs-nodes-crash-h (previous step)

# buf1 = NODE_HEADER_SIZE, is-aligned(# buf0, NODE_HEADER_SIZE), is-aligned(n0, NODE_HEADER_SIZE), is-encoded(nodeheader(m0, boolvar), buf1), # buf0 ≤ align↑(m0, 2 * NODE_HEADER_SIZE), n0 ≤ # buf0, n0 ≤ align↑(m0, 2 * NODE_HEADER_SIZE), ∀ buf2, m, x, lax, n. # buf2 < #(buf1 + buf0) → abs-nodes(buf2, m, x, lax, true) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ n ≤ # buf2 → (∃ x0, lax0. x0 ⊑ x ∧ lax0 ⊑ lax ∧ abs-nodes(subarray(buf2, 0, n), m, x0, lax0, true)) ⊦ ∃ buf3, buf2. buf1 + subarray(buf0, 0, n0) = buf3 + buf2 ∧ # buf3 = NODE_HEADER_SIZE ∧ (is-garbage-header(buf3) ∨ (∃ ndhd. is-encoded(ndhd, buf3) ∧ # buf2 ≤ align↑(ndhd.size, 2 * NODE_HEADER_SIZE))), ∃ buf3, buf2. buf1 + subarray(buf0, 0, n0) = buf3 + buf2 ∧ abs-padding(buf3) ∧ abs-nodes(buf2, m + # buf3, [], [], true)

User applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: buf1, subarray(buf0, 0, n0) abort: F discard: T computed: T

Additional information

Used simplifier rules: ⊦ is-encoded(ndhd, buf) → ¬ is-garbage-header(buf); (s)% ⊦ is-encoded(ndhd, buf) → (is-encoded(ndhd0, buf) ↔ ndhd = ndhd0); (s)% ⊦ # subarray(buf, m, n) = n; (s)% ⊦ nodeheader(m, boolvar).size = m; (s) Used terms: buf1, subarray(buf0, 0, n0)