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Theorem split-at

⊦ p ∈ tree → tree[p + q] = tree[p][q]

Type: A user defined theorem
Validity: The proof is valid.
Features: ls,
Comment:
Used by: again-put, at-del, at-mod, at-put, split-del, split-put,
Used by units in proved state: posix-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 7
Used lemmas: one-inf, one-at, at-dnode, one-ind, split-in, nil-at,
Used spec theorems:
- Used simplifier rules:
  - list/path/Nil
  - list/path/c
  - list/path/a