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Proof step 96 from proof abs-nodes-crash-h (previous step)

# buf2 = NODE_HEADER_SIZE, n0 < NODE_HEADER_SIZE + # buf, abs-nodes(buf0, 2 * NODE_HEADER_SIZE + m + # buf, nd ' + x1, @(m0, m1) ' + lax0, true), is-aligned(n0, NODE_HEADER_SIZE), is-aligned(# buf, 2 * NODE_HEADER_SIZE), is-encoded(nodeheader(# buf, true), buf2), NODE_HEADER_SIZE ≤ # buf0, n0 ≤ NODE_HEADER_SIZE + # buf + # buf0, ∀ buf3, m, x, lax, n. # buf3 < #(buf2 + (buf + validtrailer) + buf0) → abs-nodes(buf3, m, x, lax, true) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ n ≤ # buf3 → (∃ x0, lax0. x0 ⊑ x ∧ lax0 ⊑ lax ∧ abs-nodes(subarray(buf3, 0, n), m, x0, lax0, true)) ⊦ ∃ buf0, buf1. buf2 + subarray(buf + validtrailer, 0, n0) = buf0 + buf1 ∧ # buf0 = NODE_HEADER_SIZE ∧ (is-garbage-header(buf0) ∨ (∃ ndhd. is-encoded(ndhd, buf0) ∧ # buf1 ≤ align↑(ndhd.size, 2 * NODE_HEADER_SIZE)))

User applied rule exists right

And obtained the following new goals

Proof step 97:
# buf2 = NODE_HEADER_SIZE, n0 < NODE_HEADER_SIZE + # buf, abs-nodes(buf0, 2 * NODE_HEADER_SIZE + m + # buf, nd ' + x1, @(m0, m1) ' + lax0, true), is-aligned(# buf, 2 * NODE_HEADER_SIZE), is-aligned(n0, NODE_HEADER_SIZE), is-encoded(nodeheader(# buf, true), buf2), n0 ≤ NODE_HEADER_SIZE + # buf + # buf0, NODE_HEADER_SIZE ≤ # buf0, ∀ buf3, m, x, lax, n. # buf3 < #(buf2 + (buf + validtrailer) + buf0) → abs-nodes(buf3, m, x, lax, true) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ n ≤ # buf3 → (∃ x0, lax0. x0 ⊑ x ∧ lax0 ⊑ lax ∧ abs-nodes(subarray(buf3, 0, n), m, x0, lax0, true)) ⊦ buf2 + subarray(buf + validtrailer, 0, n0) = buf2 + subarray(buf + validtrailer, 0, n0) ∧ # buf2 = NODE_HEADER_SIZE ∧ (is-garbage-header(buf2) ∨ (∃ ndhd. is-encoded(ndhd, buf2) ∧ # subarray(buf + validtrailer, 0, n0) ≤ align↑(ndhd.size, 2 * NODE_HEADER_SIZE)))

Rule argument

pos: right 1 terms: buf2, subarray(buf + validtrailer, 0, n0) abort: F discard: T computed: T

Additional information

Used terms: buf2, subarray(buf + validtrailer, 0, n0)