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Theorem prefixn-append-left

n ≤ # x ⊦ prefixn(n, x + y) = prefixn(n, x)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: prefixn-append-prefix, prefixn-eq-append,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: prefixn,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/c
  - nat-basic/a
  - nat-basic/l-02
  - nat/fle
  - nat-basic/f
  - nat/le-def
  - list-del/first-append
  - list/a
  - list/len