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Theorem last-elim

x ≠ [] ⊦ a = x.last ∧ y = x.butlast ↔ x = y + a '

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: bin-01, bin-02, blapp, blast-first, bnotempty, btwo, butlast-eq, lapp-01, last-ex, lb, postfix-rec, prefix-butlast, prefix-butlast-append,
Used by units in proved state: list-del, path-reachable, olist, mon-lim-filter-count, infinite-append,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: butlast-def, last-def, butlast-last,
Used spec theorems:
- Used simplifier rules:
  - list/a