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Theorem abs-nodes-padding-prefix

⊦ abs-padding(buf0) → (abs-nodes(buf0 + buf1, m, x, lax, weak) ↔ abs-nodes(buf1, m + # buf0, x, lax, weak))

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: abs-nodes-add-crash-aligned-h, abs-nodes-append-h, abs-nodes-crash-h, abs-nodes-prefix-h, abs-nodes-split-h, abs-nodes-unique-strong-h, abs-nodes-unique-weak-h, abs-nodes-valid-node,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 16
Used lemmas: abs-nodes-rec, abs-nodes-base,
Used spec theorems:
- Used simplifier rules:
  - array-splice/buffer/append-len
  - abs-node/abs-padding-abs-failed-append
  - nat-basic/z-01
  - abs-node/buf-size-zero
  - nat-basic/a
  - nat-basic/c
  - abs-node/abs-padding-mkbuf0
  - list/c
  - abs-node/abs-padding-eq
  - list-data/laddress-list/elim-list-c
  - list/laddress-list/a
  - list/laddress-list/e-01
  - list/laddress-list/c
  - laddress/elim
  - array-splice/buffer/append-a
  - abs-node/abs-node-no-abs-padding
  - array-splice/buffer/append-eq-left