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Theorem firstN-lastN-in

⊦ n ≤ # x ∧ a ∈ x ∧ ¬ a ∈ x.takeRight(n) → (a ∈ x.take(# x - n) ↔ true)

Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by: firstN-lastN-in-01, lastn-firstn-in, lastn-firstn-in-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas: firstN-lastN, lastn-restn-01,
Used spec theorems:
- Used simplifier rules: