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Theorem abs-nodes-elems-adr-length-h

⊦ abs-nodes(buf, m, x, lax, weak) → # x = # lax

Type: A user defined theorem
Validity: The proof is valid.
Features: ls, forward,
Comment:
Used by: abs-nodes-add-crash-aligned-nodes, abs-nodes-elems-adr-length, abs-nodes-elems-empty-adr-empty-h, abs-nodes-no-padding-last, abs-nodes-subarray-failed,
Used by units in proved state: persistence-refine, persistence-asm, persistence-base,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 20
Used lemmas: ls-abs-node-buf-size, abs-nodes-first-adr-explicit, abs-nodes-rec, abs-nodes-base,
Used spec theorems:
- Used simplifier rules:
  - list-data/size-01
  - list-data/laddress-list/l
  - list/c
  - laddress/elim
  - list/laddress-list/in-rec
  - list/laddress-list/in-14
  - list/len-05
  - list/a
  - nat-basic/add-base
  - abs-node/abs-padding-mkbuf0
  - list-data/laddress-list/elim-list-c
  - nat-basic/eq-01
  - nat-basic/succ
  - list/laddress-list/len-05
  - list/laddress-list/a
  - list/laddress-list/e-01
  - list/laddress-list/c
  - array-splice/buffer/append-len
  - array-splice/buffer/append-a
  - nat/lels
  - nat/le-add
  - abs-node/buf-size-zero
  - nat-basic/a
  - nat-basic/c
  - array/buffer/Size-mkarray
  - nat-basic/z-01
  - nat-mult/two-zero-01
  - node-header-size/nodeheader-notzero
  - nat-mult/mult-a
  - nat-mult/mult-c