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Proof step 23 from proof abs-nodes-split-h (previous step)

# buf1 = nd.alignedsize + 2 * NODE_HEADER_SIZE, abs-node(buf1, nd), abs-nodes(buf2, m + # buf1, x, lax0, false), abs-nodes(buf, (m + # buf1) + # buf2, x1, lax, weak), abs-nodes(buf2 + buf, m + # buf1, x + x1, lax0 + lax, weak), ∀ buf3, m, x0, x1, lax, weak. # buf3 < #(buf1 + buf2 + buf) → abs-nodes(buf3, m, x0 + x1, lax, weak) → (∃ buf4, buf1, lax0, lax1. lax = lax0 + lax1 ∧ buf3 = buf4 + buf1 ∧ abs-nodes(buf4, m, x0, lax0, false) ∧ abs-nodes(buf1, m + # buf4, x1, lax1, weak)) ⊦ ∃ buf4, buf3, lax3, lax1. @(m, # buf1) ' + lax0 + lax = lax3 + lax1 ∧ buf1 + buf2 + buf = buf4 + buf3 ∧ abs-nodes(buf4, m, nd ' + x, lax3, false) ∧ abs-nodes(buf3, m + # buf4, x1, lax1, weak)

User applied rule exists right

And obtained the following new goals

Proof step 24:
# buf1 = nd.alignedsize + 2 * NODE_HEADER_SIZE, abs-node(buf1, nd), abs-nodes(buf2 + buf, m + # buf1, x + x1, lax0 + lax, weak), abs-nodes(buf, (m + # buf1) + # buf2, x1, lax, weak), abs-nodes(buf2, m + # buf1, x, lax0, false), ∀ buf3, m, x0, x1, lax, weak. # buf3 < #(buf1 + buf2 + buf) → abs-nodes(buf3, m, x0 + x1, lax, weak) → (∃ buf4, buf1, lax0, lax1. lax = lax0 + lax1 ∧ buf3 = buf4 + buf1 ∧ abs-nodes(buf4, m, x0, lax0, false) ∧ abs-nodes(buf1, m + # buf4, x1, lax1, weak)) ⊦ @(m, # buf1) ' + lax0 + lax = (@(m, nd.alignedsize + 2 * NODE_HEADER_SIZE) ' + lax0) + lax ∧ buf1 + buf2 + buf = (buf1 + buf2) + buf ∧ abs-nodes(buf1 + buf2, m, nd ' + x, @(m, nd.alignedsize + 2 * NODE_HEADER_SIZE) ' + lax0, false) ∧ abs-nodes(buf, m + #(buf1 + buf2), x1, lax, weak)

Rule argument

pos: right 1 terms: buf1 + buf2, buf, @(m, nd.alignedsize + 2 * NODE_HEADER_SIZE) ' + lax0, lax abort: F discard: T computed: T

Additional information

Used terms: buf1 + buf2, buf, @(m, nd.alignedsize + 2 * NODE_HEADER_SIZE) ' + lax0, lax