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Theorem indices-where-in

⊦ n ∈ ar.indicesWhere(φ) ↔ n < # ar ∧ φ(ar[n])

Type: A user defined theorem
Validity: The proof is valid.
Features: ws, lws,
Comment:
Used by: map-if-at, valid-indices-indiceswhere,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 2
Used lemmas: indices-where-in-h, indiceswhere,
Used spec theorems:
- Used simplifier rules:
  - nat/le-def
  - nat-basic/ref