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Theorem butlast-last

x ≠ [] ⊦ x.butlast + x.last ' = x

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: bl, blapp, blapp-01, butlast-eq, butlast-last-01, last-elim, postfix-split-stronger, prefix-butlast-append,
Used by units in proved state: list-del, path-reachable, mon-lim-filter-count,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas: last-02,
Used spec theorems:
- list/Last
Used simplifier rules: