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Theorem inv-write

ebm-vol-inv(avol), # lpt = # avol, m < # avol, avol[m].mapped?, # avol[m].data ≤ m0, is-aligned(m0, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), m0 + n ≤ LEB_SIZE, n0 + n ≤ # buf ⊦ ⟪apersistence_io_write#(m, m0, n0, n, buf, adr, m1, plog, lpt, ns; avol; err)⟫ (ebm-vol-inv(avol) ∧ # lpt = # avol)

Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 19
Used lemmas: write,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/lf-01
  - nat-basic/add-base
  - error-class/esuccess
  - nat/ge
  - nat-basic/f
  - aleb/sel
  - aleb/test-02
  - nat/le-def
  - nat/fle-01
  - nat-basic/l
  - nat-basic/ls-02
  - nat-basic/a
  - nat-basic/c
  - aleb/ex
  - array/avolume/Size-put
  - nat/lels
  - nat/ls-le-simp
  - ebm-vol-inv/ebm-vol-inv-write
  - array-splice/buffer/append-len
  - array-splice/buffer/emparray-len
  - array-copy/buffer/size-subarray
  - array-splice/buffer/append-a
  - nat/sub-add
  - align/is-aligned-add
  - aleb/inj
  - eraseblock/page-size
  - align/is-aligned-zero
  - nat-basic/zero
  - error-class/not-esuccess
  - error/disj-91
  - error-class/ecommit