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Proof step 3 from proof abs-nodes-crash-prefix (previous step)

abs-nodes(buf, 0, x1, lax1, boolvar1), abs-nodes(buf.align↓, 0, x0, lax0, boolvar0) ⊦ x0 ⊑ x1 ∧ lax0 ⊑ lax1

User applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
buf = buf0 + buf1, # buf1 < EB_PAGE_SIZE, abs-nodes(buf0, 0, x0, lax0, boolvar0), abs-nodes(buf, 0, x1, lax1, boolvar1), is-aligned(# buf0, EB_PAGE_SIZE) ⊦ x0 ⊑ x1 ∧ lax0 ⊑ lax1

Rule argument

spec: awbuf-inv name: align-down-elim seq: ⊦ buf0 = buf.align↓ ↔ (∃ buf1. buf = buf0 + buf1 ∧ # buf1 < EB_PAGE_SIZE ∧ is-aligned(# buf0, EB_PAGE_SIZE)) subst: [buf, buf0] → [buf, buf0]

Additional information

Used simplifier rules: ⊦ buf0 = buf.align↓ ↔ (∃ buf1. buf = buf0 + buf1 ∧ # buf1 < EB_PAGE_SIZE ∧ is-aligned(# buf0, EB_PAGE_SIZE)); (elim) Used terms: buf, buf0