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Proof step 3 from proof abs-padding-abs-nodes-h (previous step)

abs-padding(buf) ⊦ abs-nodes(buf, m, x, lax, weak) ↔ x = [] ∧ lax = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ abs-padding(buf) ↔ (∃ buf0, buf1. buf = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(# buf1, true), buf0) ∧ is-aligned(# buf1, 2 * NODE_HEADER_SIZE))
Proof step 5:
∃ buf0, buf1. buf = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(# buf1, true), buf0) ∧ is-aligned(# buf1, 2 * NODE_HEADER_SIZE) ⊦ abs-nodes(buf, m, x, lax, weak) ↔ x = [] ∧ lax = []

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] → [buf] flags: <all paths>

Additional information

Used terms: buf