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Theorem map-in

⊦ b ∈ x map f ↔ (∃ a. b = f(a) ∧ a ∈ x)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 15
Used lemmas: a, in-rec, c, map-rec, in-empty, map-base,
Used spec theorems:
- Used simplifier rules: