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Proof step 12 from proof abs-nodes-add-crash-aligned (previous step)

# buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, abs-node(buf1, a), abs-nodes(buf0, 0, x, lax, false), is-aligned(# buf0 + # buf1, EB_PAGE_SIZE) ⊦ abs-nodes((buf0 + buf1).align↓, 0, x + a ', lax + @(# buf0, # buf1) ', boolvar)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ is-aligned(# buf, EB_PAGE_SIZE) → buf.align↓ = buf
Proof step 14:
# buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, abs-node(buf1, a), abs-nodes(buf0, 0, x, lax, false), is-aligned(# buf0 + # buf1, EB_PAGE_SIZE), is-aligned(#(buf0 + buf1), EB_PAGE_SIZE) ⊦ abs-nodes(buf0 + buf1, 0, x + a ', lax + @(# buf0, # buf1) ', boolvar)

Rule argument

spec: awbuf-inv name: align-down-is-aligned seq: ⊦ is-aligned(# buf, EB_PAGE_SIZE) → buf.align↓ = buf subst: [buf] → [buf0 + buf1] flags: <all paths>

Additional information

Used simplifier rules: ⊦ #(buf + buf0) = # buf + # buf0; (s)%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer] Used terms: buf0 + buf1