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Proof step 13 from proof abs-nodes-prefix-elim (previous step)

abs-nodes(buf0, 0, x0, lax0, false), abs-nodes(buf0 + buf1, 0, x0 + z, lax0 + lax, boolvar1) ⊦ abs-nodes(buf1, # buf0, z, lax, boolvar1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ abs-nodes(buf0, m, x0, lax0, false) → (abs-nodes(buf0 + buf1, m, x0 + x1, lax0 + lax1, weak) ↔ abs-nodes(buf1, m + # buf0, x1, lax1, weak))

Rule argument

spec: <toplevel> name: abs-nodes-append-h seq: ⊦ abs-nodes(buf0, m, x0, lax0, false) → ( abs-nodes(buf0 + buf1, m, x0 + x1, lax0 + lax1, weak) ↔ abs-nodes(buf1, m + # buf0, x1, lax1, weak)) subst: [weak, lax1, lax0, x1, x0, m, buf1, buf0] → [boolvar1, lax, lax0, z, x0, 0, buf1, buf0] flags: <all paths>

Additional information

Used simplifier rules: abs-nodes-nospace-h: # buf < NODE_HEADER_SIZE ⊦ abs-nodes(buf, m, x, lax, boolvar) ↔ x = [] ∧ lax = [] ∧ buf = mkbuf(0);% ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m < n ↔ ¬ n ≤ m; (ss) Used terms: boolvar1, lax, lax0, z, x0, 0, buf1, buf0