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Proof step 7 from proof abs-nodes-nospace-h (previous step)

# buf < NODE_HEADER_SIZE, buf = mkbuf(0) ∧ lax = [] ∨ buf = buf0 + buf1 ∧ abs-padding(buf0) ∧ abs-nodes(buf1, m + # buf0, [], lax, boolvar) ⊦ lax = [] ∧ buf = mkbuf(0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ abs-padding(buf) ↔ (∃ buf0, buf1. buf = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(# buf1, true), buf0) ∧ is-aligned(# buf1, 2 * NODE_HEADER_SIZE))
Proof step 9:
# buf < NODE_HEADER_SIZE, buf = mkbuf(0) ∧ lax = [] ∨ buf = buf0 + buf1 ∧ (∃ buf2, buf1. buf0 = buf2 + buf1 + validtrailer ∧ is-encoded(nodeheader(# buf1, true), buf2) ∧ is-aligned(# buf1, 2 * NODE_HEADER_SIZE)) ∧ abs-nodes(buf1, m + # buf0, [], lax, boolvar) ⊦ lax = [] ∧ buf = mkbuf(0)

Rule argument

spec: abs-node name: abs-padding seq: ⊦ abs-padding(buf) ↔ (∃ buf0, buf1. buf = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(# buf1, true), buf0) ∧ is-aligned(# buf1, 2 * NODE_HEADER_SIZE)) subst: [buf] → [buf0] flags: <all paths>

Additional information

Used terms: buf0