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Theorem get-empty

⊦ getarray(r, i, j, st) = [] ↔ j ≤ 0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: bar-empty, extension, get-first, get-length-02, get-rest, get-sublist, get-zero, getarray-get, getarray-in, getarray-offset, getbar-len-01, getintarray-empty-01, getintarray-in,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: getArray-one, getArray-rec, getArray-zero,
Used spec theorems:
- Used simplifier rules:
  - int-abs/lels-01
  - int-basic1/lf-02
  - int-abs/bet
  - int-abs/lels
  - list/javavalues/Last
  - list/javavalues/app-02-ant
  - list/javavalues/e
  - list/javavalues/a