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Theorem lastn-restn-01

n ≤ # x ⊦ x.takeRight(n) = x.drop(# x - n)

Type: A user defined theorem
Validity: The proof is valid.
Features: ls,
Comment:
Used by: firstN-lastN, firstN-lastN-in, firstN-lastN-in-01, firstn-last-eq, lastN-all, lastN-append, lastN-append-01, lastN-dups, lastN-ex, lastN-in, lastN-in-01, lastN-rest, lastN-rest-01, lastn-app, lastn-lastn, lastn-lastn-01, lastn-length-01, lastn-mklist-01, lastn-mklist-03, lastn-neq-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 10
Used lemmas: restN-append, lastN-rec, rest-empty, lastN-zero,
Used spec theorems:
- Used simplifier rules:
  - nat/elim-sub
  - nat-basic/c
  - nat-basic/a
  - nat/lep
  - nat-basic/add-base
  - list/Last
  - nat-basic/succ
  - list-data/size-nil
  - nat-basic/z-01
  - nat-basic/oz
  - list-last/last-elim
  - list/a
  - list/e
  - list/app-02
  - nat-basic/eq-01
  - list/len-02
  - list/len
  - nat/le-def
  - nat-basic/f
  - nat-basic/lf-02
  - nat-basic/l-02
  - list/len-06