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Theorem elim-firstn-restn

⊦ n ≤ # x → (y = firstn(n, x) ∧ z = restn(n, x) ↔ x = y + z ∧ # y = n)

Type: A user defined theorem
Validity: The proof is valid.
Features: elim,
Comment:
Used by: firstN-in, put-firstn-restn, rest-in,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: restN-len, firstN-len, firstn-length-04, firstn-restn-eq,
Used spec theorems:
- Used simplifier rules:
  - list/a