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Proof step 9 from proof abs-nodes-crash (previous step)

abs-nodes(buf, 0, x, lax, true), is-aligned(align↓(# buf, EB_PAGE_SIZE), NODE_HEADER_SIZE) → x0 ⊑ x ∧ lax0 ⊑ lax ∧ abs-nodes(subarray(buf, 0, align↓(# buf, EB_PAGE_SIZE)), 0, x0, lax0, true) ⊦ ∃ x0, lax0. x0 ⊑ x ∧ lax0 ⊑ lax ∧ abs-nodes(subarray(buf, 0, align↓(# buf, EB_PAGE_SIZE)), 0, x0, lax0, true)

User applied rule case distinction

And obtained the following new goals

Proof step 10:
abs-nodes(buf, 0, x, lax, true) ⊦ is-aligned(align↓(# buf, EB_PAGE_SIZE), NODE_HEADER_SIZE), ∃ x0, lax0. x0 ⊑ x ∧ lax0 ⊑ lax ∧ abs-nodes(subarray(buf, 0, align↓(# buf, EB_PAGE_SIZE)), 0, x0, lax0, true)

Rule argument

pos: left 2

Additional information

Used simplifier rules: abs-nodes-unique-weak-h: ⊦ abs-nodes(buf, m, x0, lax0, true) → (abs-nodes(buf, m, x1, lax1, true) ↔ x0 = x1 ∧ lax0 = lax1);