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Theorem align-down-append-eq

⊦ (buf0 + buf1).align↓ = buf0 ↔ is-aligned(# buf0, EB_PAGE_SIZE) ∧ # buf1 < EB_PAGE_SIZE

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state: wbuf-refine,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: down-arrow-buf,
Used spec theorems:
- array/buffer/Extension
Used simplifier rules:
- array-splice/buffer/append-len
- array-copy/buffer/size-subarray
- eraseblock/page-size
- align/align-down-add-eq
- nat-basic/a
- nat-basic/c
- align/aligndown-is-aligned-add
- align/align-down-ls-zero
- nat-basic/add-base
- array-splice/buffer/subarray-append-left
- array-splice/buffer/append-a