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Theorem map-append-split

⊦ x.map(f) = bx1 + bx2 ↔ (∃ y, z. x = y + z ∧ bx1 = y.map(f) ∧ bx2 = z.map(f))

Type: A user defined theorem
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: 6
Proof steps: 15
Used lemmas: len-01, in-rec, c-06, map-empty, in-empty, in-append, in-14, c, map-rec, a, Nil, map-base, app-02,
Used spec theorems:
- Used simplifier rules: