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Theorem elim-fromto-fin

⊦ ¬ # x < n → (x0 = x to n ∧ x1 = x from n ↔ x = x0 + x1 ∧ # x0 = n)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: to-empty-fin, to-plus-from-fin-simp,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 1
Used lemmas: to-plus-from-fin, append-from-size, append-to-size, length-to, elim-fromto,
Used spec theorems:
- Used simplifier rules:
  - list/a
  - nat/lels