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Theorem lastN-ex

n ≤ # x ⊦ ∃ y. x = y + lastn(n, x) ∧ # y = # x - n

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: first-length, lastn-restn-01, lastN-zero, firstrestex,
Used spec theorems:
- Used simplifier rules:
  - nat/elim-sub
  - nat/lep
  - nat-basic2/l-01
  - nat/ls-01
  - nat-basic2/add-base
  - list/app
  - list/a
  - nat/eq-01
  - nat-basic2/a
  - nat-basic2/c
  - nat/lels-01
  - nat-basic1/f
  - nat-basic1/lf-02
  - nat-basic2/l-02