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Proof step 3 from proof abs-nodes-subarray-failed (previous step)

# buf = x.flashsize, n < x.flashsize, abs-nodes(buf, m, x, lax, false), is-aligned(n, NODE_HEADER_SIZE) ⊦ n = 0, x = [], ∃ n0. n0 < # lax ∧ abs-nodes(subarray(buf, 0, n), m, prefixn(n0, x), prefixn(n0, lax), true)

User applied rule induction

And obtained the following new goals

Proof step 4:
# buf = x.flashsize, n < x.flashsize, abs-nodes(buf, m, x, lax, false), is-aligned(n, NODE_HEADER_SIZE), ∀ buf0, x, n, m, lax. # buf0 < # buf → # buf0 = x.flashsize ∧ n < x.flashsize ∧ abs-nodes(buf0, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) → n = 0 ∨ x = [] ∨ (∃ n0. n0 < # lax ∧ abs-nodes(subarray(buf0, 0, n), m, prefixn(n0, x), prefixn(n0, lax), true)) ⊦ n = 0, x = [], ∃ n0. n0 < # lax ∧ abs-nodes(subarray(buf, 0, n), m, prefixn(n0, x), prefixn(n0, lax), true)

Rule argument

indvar: # buf wfpred: <

Additional information

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