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Theorem isempty-elim-right

n + m ≤ # buf0, n + m ≤ # buf0 + # buf1 ⊦ isempty(buf0 + buf1, n, m) ↔ isempty(buf0, n, m)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: isempty-elim-right0,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 9
Used lemmas: isempty-elim-left0, isempty-ext,
Used spec theorems:
- Used simplifier rules:
  - nat/le-def
  - nat/le-ls-simp
  - array-splice/buffer/append-len
  - nat-basic/c
  - nat-basic/a
  - nat-basic/l-01
  - array-splice/buffer/append-a
  - array-splice/buffer/append-at1
  - nat/fle-01
  - nat/fle
  - nat-basic/f