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Theorem append-to-gr

⊦ # x < n → x + y to n = x + (y to (n - # x))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 7
Used lemmas: to-succ-cons-l-lem,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/f
  - nat/le-def
  - nat-basic/ls-02
  - nat/elim-sub
  - nat-basic/c
  - nat-basic/a
  - nat-basic/l-01
  - nat/lels-03
  - list-data/size-nil
  - nat-basic/z-02
  - list/Nil
  - list/a
  - list/app-01
  - list/c
  - list/len-02
  - list/len