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Theorem abs-nodes-nospace-h

# buf < NODE_HEADER_SIZE ⊦ abs-nodes(buf, m, x, lax, boolvar) ↔ x = [] ∧ lax = [] ∧ buf = mkbuf(0)

Type: A user defined theorem
Validity: The proof is valid.
Features: ws, lws,
Comment:
Used by: abs-nodes-beyond-no-address-h, abs-nodes-crash-h, abs-nodes-emptyheader-h, abs-nodes-headerspace, abs-nodes-mkbuf0-empty-h, abs-nodes-no-padding-one, abs-nodes-nospace, abs-nodes-notrailer-h, abs-nodes-prefix-elim, abs-nodes-prefix-h, abs-nodes-unique-strong-h, abs-nodes-unique-weak-h, abs-padding-abs-nodes-h, add-failed-is-aligned,
Used by units in proved state: persistence-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 18
Used lemmas: abs-nodes-first-adr-explicit, abs-nodes-rec, abs-nodes-base,
Used spec theorems:
- abs-node/abs-node
- abs-node/abs-padding
Used simplifier rules:
- nat-basic/f
- abs-node/abs-failed-nospace
- abs-node/buf-size-zero
- array/buffer/Size-mkarray
- nat-basic/zero
- node-header-size/nodeheader-notzero
- list/e-01
- list/c
- laddress/elim
- array-copy/buffer/subarray-elim
- array-splice/buffer/append-len
- node-header-size/validtrailer-size
- array-splice/buffer/append-a
- nat-basic/a
- nat-basic/l-02
- nat-basic/c
- list/a
- list/laddress-list/c