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Proof step 22 from proof abs-nodes-unique-strong-h (previous step)

# buf1 = nd.alignedsize + 2 * NODE_HEADER_SIZE, abs-node(buf1, nd), abs-nodes(buf0, m + # buf1, x, lax2, false), ∀ buf2, m, x0, lax0, x1, lax1, boolvar1. # buf2 < #(buf1 + buf0) → abs-nodes(buf2, m, x0, lax0, false) → (abs-nodes(buf2, m, x1, lax1, boolvar1) ↔ x0 = x1 ∧ lax0 = lax1) ⊦ abs-nodes(buf1 + buf0, m, x1, lax1, boolvar1) ↔ nd ' + x = x1 ∧ @(m, # buf1) ' + lax2 = lax1

User applied rule constructor cut

And obtained the following new goals

Proof step 23:
# buf1 = nd.alignedsize + 2 * NODE_HEADER_SIZE, x1 = [], abs-node(buf1, nd), abs-nodes(buf0, m + # buf1, x, lax2, false), ∀ buf2, m, x0, lax0, x1, lax1, boolvar1. # buf2 < #(buf1 + buf0) → abs-nodes(buf2, m, x0, lax0, false) → (abs-nodes(buf2, m, x1, lax1, boolvar1) ↔ x0 = x1 ∧ lax0 = lax1) ⊦ abs-nodes(buf1 + buf0, m, x1, lax1, boolvar1) ↔ nd ' + x = x1 ∧ @(m, # buf1) ' + lax2 = lax1
Proof step 26:
# buf1 = nd.alignedsize + 2 * NODE_HEADER_SIZE, x1 = nd0 + x2, abs-node(buf1, nd), abs-nodes(buf0, m + # buf1, x, lax2, false), ∀ buf2, m, x0, lax0, x1, lax1, boolvar1. # buf2 < #(buf1 + buf0) → abs-nodes(buf2, m, x0, lax0, false) → (abs-nodes(buf2, m, x1, lax1, boolvar1) ↔ x0 = x1 ∧ lax0 = lax1) ⊦ abs-nodes(buf1 + buf0, m, x1, lax1, boolvar1) ↔ nd ' + x = x1 ∧ @(m, # buf1) ' + lax2 = lax1

Rule argument

var: x1

Additional information

Used simplifier rules: list freely generated by [], +;;