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

abs-nodes(buf0 + buf1, m, x1, lax1, boolvar1), abs-nodes(buf0, m, x0, lax0, boolvar0) ⊦ x0 ⊑ x1 ∧ lax0 ⊑ lax1

User applied rule induction

And obtained the following new goals

Proof step 4:
abs-nodes(buf0 + buf1, m, x1, lax1, boolvar1), abs-nodes(buf0, m, x0, lax0, boolvar0), ∀ buf, buf1, m, x1, lax1, boolvar1, x0, lax0, boolvar0. # buf < # buf0 → abs-nodes(buf + buf1, m, x1, lax1, boolvar1) ∧ abs-nodes(buf, m, x0, lax0, boolvar0) → x0 ⊑ x1 ∧ lax0 ⊑ lax1 ⊦ x0 ⊑ x1 ∧ lax0 ⊑ lax1

Rule argument

indvar: # buf0 wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # buf0