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Proof step 6 from proof flush-padding-space-aligned (previous step)

EB_PAGE_SIZE = n + m % EB_PAGE_SIZE, is-aligned(n + m % EB_PAGE_SIZE, 2 * NODE_HEADER_SIZE), is-aligned(m, 2 * NODE_HEADER_SIZE) ⊦ is-aligned(n, 2 * NODE_HEADER_SIZE)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
m ≠ 0, is-aligned(n1, m) ⊦ is-aligned(n0 + n1, m) ↔ is-aligned(n0, m)
Proof step 8:
EB_PAGE_SIZE = n + m % EB_PAGE_SIZE, is-aligned(m, 2 * NODE_HEADER_SIZE), is-aligned(n + m % EB_PAGE_SIZE, 2 * NODE_HEADER_SIZE) ⊦ is-aligned(n, 2 * NODE_HEADER_SIZE), 2 * NODE_HEADER_SIZE ≠ 0 ∧ is-aligned(m % EB_PAGE_SIZE, 2 * NODE_HEADER_SIZE)

Rule argument

spec: align name: is-aligned-add seq: m ≠ 0, is-aligned(n1, m) ⊦ is-aligned(n0 + n1, m) ↔ is-aligned(n0, m) subst: [m, n1, n0] → [2 * NODE_HEADER_SIZE, m % EB_PAGE_SIZE, n] flags: <all paths>

Additional information

Used terms: 2 * NODE_HEADER_SIZE, m % EB_PAGE_SIZE, n