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Theorem indexWhere-app-split

⊦ (x + y).indexWhere(p) = (x.exists(p) ⊃ x.indexWhere(p);# x + y.indexWhere(p))

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: 0
Proof steps: 10
Used lemmas: indexWhere-rec2, indexWhere-rec1, exists-rec, exists-base,
Used spec theorems:
- Used simplifier rules: