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Theorem ebm-vol-inv-write

n < # avol ⊦ ebm-vol-inv(avol) → ( ebm-vol-inv(avol[n, aleb]) ↔ (avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ is-aligned(# avol[n].data, EB_PAGE_SIZE)) → aleb.mapped? → # aleb.data ≤ LEB_SIZE ∧ is-aligned(# aleb.data, EB_PAGE_SIZE))

Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
Used by units in proved state: ebm-avol-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 17
Used lemmas: ebm-vol-inv,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/f
  - array/avolume/Size-put
  - aleb/test-01
  - aleb/aleb-not-mapped
  - aleb/ex
  - array/avolume/Put-same
  - aleb/test-02
  - aleb/sel
  - array/avolume/Put-other