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Theorem split-restn

⊦ p ⊑ q0 → restn(# p, q0 + q1) = restn(# p, q0) + q1

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: at-put,
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: one-restn,
Used spec theorems:
- Used simplifier rules:
  - list-data/path/size-01
  - list-del/path/restN-zero
  - list/path/app-01
  - nat-basic/succ
  - list/path/len-05
  - list/path/Nil
  - list-last/path/prefix-empty
  - list/path/app-02
  - list/path/e
  - list-data/path/elim-list-c
  - list-last/path/prefix-rec-03
  - list/path/e-01
  - nat-basic/c
  - nat-basic/a
  - list-del/path/weak-restN-rec
  - list/path/a
  - list/path/c