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Theorem lls-consecutive

⊦ (lls(r0, r1, x) * lls(r1, r2, y) * P)(H) → (¬ (lls(r0, r2, x + y) * P)(H) ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 6
Used lemmas: lls-rec, lls-base,
Used spec theorems:
- Used simplifier rules:
  - maplet/cell-heap/ex1-shift
  - list/c
  - heap-sep/cell-heap/sep-com
  - heap-sep/cell-heap/prop-shift
  - heap-sep/cell-heap/emp-sep
  - heap-sep/cell-heap/sep-ass
  - heap-sep/cell-heap/and-ass
  - heap-sep/cell-heap/and-com
  - heap-sep/cell-heap/and
  - heap-sep/cell-heap/prop
  - list/Nil
  - list/a