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Theorem split-del

q ≠ ε ⊦ p ∈ tree → tree -- (p + q) = tree[p, tree[p] -- q]

Type: A user defined theorem
Validity: The proof is valid.
Features: ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: one-inf, one-at, del-recin, one-ind, put-here, split-put, split-at, split-in, nil-put, nil-at,
Used spec theorems:
- Used simplifier rules:
  - list/path/Nil
  - list/path/c
  - list/path/a
  - list/path/app-02