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Theorem get-from-01

m + m0 < # x ⊦ (x from m)[m0] = x[m + m0]

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: from-append-add, get-from, swap-from-to,
Used by units in proved state: streamseq-mon-lim-old, infinite-append-old, inf-app-list-old,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 7
Used lemmas: from-succ-cons-l-lem, from-zero-l,
Used spec theorems:
- Used simplifier rules:
  - list-data/l
  - nat-basic/f
  - nat/lels
  - nat-basic/c
  - nat-basic/a
  - nat-basic/s-04
  - list/a
  - list/len-02
  - list/len
  - list/c
  - list/e-01
  - nat-basic/z-02
  - nat/succ-01
  - nat-basic/succ
  - list-del/get-succ