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Theorem inv-write

root.dir?, fids-cons(root, fs, ofh), n ≤ # buf ⊦ ⟪posix_write#(fd, buf, user, root; n, err, fs, ofh; psynced)⟫ fids-cons(root, fs, ofh)

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: 1
Proof steps: 26
Used lemmas: fid-in-fs, fids-cons-reduce, write,
Used spec theorems:
- Used simplifier rules:
  - nat/le-def
  - nat/le-ls-simp
  - nat/let
  - file-handle/setpos
  - file-data/setcontent
  - posix-base/ofh-fids-mod
  - store/file-data-store/In-insert
  - posix-pre/pre-write-esuccess
  - file-handle/elim
  - nat/lez
  - posix-pre/pre-write-efail