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Theorem abs-nodes-add-crash-aligned

⊦ abs-nodes(buf0, x, lax, false) ∧ abs-node(buf1, a) → (abs-nodes((buf0 + buf1).align↓, x + a ', lax + @(# buf0, a.flashsize) ', boolvar) ↔ is-aligned(# buf0 + # buf1, EB_PAGE_SIZE))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: abs-nodes-add-crash-aligned-nodes,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 10
Proof steps: 17
Used lemmas: abs-nodes-mkbuf0-empty-h, abs-nodes-rec, abs-nodes-append-h, abs-nodes-unique-strong-h, abs-nodes-add-crash-aligned-h, ls-abs-node-buf-size, abs-nodes,
Used spec theorems:
Used simplifier rules:
- align/aligndown-same-equiv
- encoding-node-base/node-flash-size
- align/aligndown-is-smaller-01
- align/is-aligned-zero
- node-header-size/nodeheader-notzero
- abs-node/abs-node-unique
- eraseblock/page-size
- align/aligndown-is-aligned
- list/laddress-list/a
- list/laddress-list/rest
- abs-node/buf-size-zero
- nat-basic/eq-02
- laddress/sel-01
- laddress/sel-02
- list/laddress-list/first
- list/laddress-list/e
- list/a
- list/app
- nat-mult/two-02
- nat-basic/eq-01
- abs-node/lfw-is-encoded-nodeheader-size
- nat-mult/mult-c
- nat-mult/mult-a
- nat-mult/one
- nat-mult/numeral-19
- array-splice/buffer/append-zero-right
- array-splice/buffer/append-a
- array-splice/buffer/append-eq-left
- array-splice/buffer/append-len
- node-header-size/validtrailer-size
- nat-basic/a
- array/buffer/Size-mkarray
- nat-basic/add-base
- nat-basic/c
- list/e
- abs-node/abs-node-full