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Proof step 10 from proof refine-sync (previous step)

root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨posix_sync#(; ; psynced, err1)⟩ ((psynced → err1 = ESUCCESS) ∧ err0 = err1)

User applied rule call right

And obtained the following new goals

Proof step 11:
root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨fail_or_success#(; ; err); psynced := err = ESUCCESS⟩ ((psynced → err = ESUCCESS) ∧ err0 = err)

Rule argument

pos: right 1

Additional information

Used simplifier rules: posix_sync#(; ; PSYNCED, ERR) {fail_or_success#(; ; ERR); PSYNCED := ERR = ESUCCESS};