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Theorem prefixn-shift-right

⊦ # x0 ≤ n → prefixn(n, x0 + x1) = x0 + prefixn(n - # x0, x1)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas: prefixn,
Used spec theorems:
- Used simplifier rules:
  - nat/ls-03
  - nat/le-ls-simp
  - nat/le-def
  - list/len
  - nat/lep
  - nat/let
  - list-del/firstn-app
  - list/a
  - nat-basic/a
  - nat-basic/c
  - list/app-01
  - nat/elim-sub