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Theorem abs-nodes-mkbuf0-empty-h

⊦ abs-nodes(mkbuf(0), m, x, lax, weak) ↔ x = [] ∧ lax = []

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: abs-nodes-add-crash-aligned, abs-nodes-crash-h, abs-nodes-emptyheader-h, abs-nodes-mkbuf0-empty, abs-nodes-no-padding-last, abs-nodes-no-padding-one, abs-nodes-nospace-header-h, abs-nodes-notrailer-h, abs-nodes-one-abs-node, abs-nodes-split-h, abs-nodes-subarray-failed, abs-nodes-unique-strong-h, abs-nodes-unique-weak-h, abs-nodes-valid-node, abs-padding-abs-nodes-h,
Used by units in proved state: persistence-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: abs-nodes-nospace-h, abs-nodes-base,
Used spec theorems:
- Used simplifier rules:
  - list/c
  - list/e-01
  - list/a
  - array/buffer/Size-mkarray
  - array-splice/buffer/append-eq-emptyar
  - array-splice/buffer/append-a
  - nat-basic/zero
  - node-header-size/nodeheader-notzero