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Theorem write-inv-stream

files0[ino] = mkfile(m0, md0, n2, content0), files1[ino] = mkfile(m1, md1, n3, content1), write-inv(n0, n1, mkinode(ino, md, false, m, m3, m2), buf, n, dirs, files0, files1) ⊦ content1.stream = (content0.stream to n0) + (⌜buf⌝ to n) + (content0.stream from n0 + n)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: write-prepost, write-prepost-partial,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: write-inv, write-inv-strong, write-inv-in0, write-inv-in1, write-inv-meta,
Used spec theorems:
- Used simplifier rules:
  - abstract-file/sel-01
  - nat/lep-02
  - abstract-file/sel-06
  - abstract-file/sel-07
  - nat/let
  - nat/ls-03
  - nat-basic/c
  - nat-basic/a
  - nat-basic/l-02
  - afs-base/afs-cons-file-nlink
  - nat-basic/f
  - nat/fle-01
  - nat/le-def
  - inode/sel-11
  - inode/sel-01
  - stream/buffer-inf/append-assoc