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Theorem refine-get

prefixn(h0, xs + ys) = prefixn(h0, xs0), #(xs + ys) ≤ # xs0, h0 = h, # xs < h, # xs = xs_len, # ys = 0 ∨ # ys = h ⊦ ⟪tree_buffer_get#(h0, xs0; ; x)⟫ ⟨caterpillar_get#(h, xs, ys; ; x0)⟩ ((prefixn(h0, xs + ys) = prefixn(h0, xs0) ∧ #(xs + ys) ≤ # xs0 ∧ h0 = h) ∧ x = x0)

Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

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Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 7
Used lemmas:
Used spec theorems:
- Used simplifier rules:
  - nat-basic/f
  - list-data/l
  - list/a
  - list/len