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Proof step 28 from proof abs-nodes-subarray-failed (previous step)

# buf0 = x0.flashsize, # buf1 = nd.alignedsize + 2 * NODE_HEADER_SIZE, abs-node(buf1, nd), abs-nodes(buf0, m0 + # buf1, x0, lax0, false), ∀ buf2, x, n, m, lax. # buf2 < #(buf1 + buf0) → # buf2 = x.flashsize ∧ n < x.flashsize ∧ abs-nodes(buf2, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) → n = 0 ∨ x = [] ∨ (∃ n0. n0 < # lax ∧ abs-nodes(subarray(buf2, 0, n), m, prefixn(n0, x), prefixn(n0, lax), true)) ⊦ buf1 + buf0 = mkbuf(0), buf1 = mkbuf(0), x0 = [], ∃ n. ¬ # lax0 < n ∧ abs-nodes(buf1, m0, prefixn(n, nd ' + x0), prefixn(n, @(m0, # buf1) ' + lax0), true)

User applied rule exists right

And obtained the following new goals

Proof step 29:
# buf1 = nd.alignedsize + 2 * NODE_HEADER_SIZE, # buf0 = x0.flashsize, abs-node(buf1, nd), abs-nodes(buf0, m0 + # buf1, x0, lax0, false), ∀ buf2, x, n, m, lax. # buf2 < #(buf1 + buf0) → # buf2 = x.flashsize ∧ n < x.flashsize ∧ abs-nodes(buf2, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) → n = 0 ∨ x = [] ∨ (∃ n0. n0 < # lax ∧ abs-nodes(subarray(buf2, 0, n), m, prefixn(n0, x), prefixn(n0, lax), true)) ⊦ buf1 + buf0 = mkbuf(0), buf1 = mkbuf(0), x0 = [], ¬ # lax0 < 1 ∧ abs-nodes(buf1, m0, prefixn(1, nd ' + x0), prefixn(1, @(m0, # buf1) ' + lax0), true)

Rule argument

pos: right 4 terms: 1 abort: F discard: T computed: F

Additional information

Used terms: 1