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Theorem inv-read
root.dir?, fids-cons(root, fs, ofh), n ≤ # buf ⊦ ⟪posix_read#(fd, user, root, fs; buf, n, err, ofh)⟫ 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: 0
Proof steps: 20
Used lemmas:
fid-in-fs
,
fids-cons-reduce
,
read
,
Used spec theorems:
Used simplifier rules:
nat
/
le-def
nat
/
fle
nat
/
fle-01
nat-basic
/
f
nat
/
le-ls-simp
nat
/
let
file-handle
/
setpos
nat-basic
/
c
nat-basic
/
a
nat-basic
/
add-base
posix-base
/
ofh-fids-mod
posix-pre
/
pre-read-esuccess
file-handle
/
elim
posix-pre
/
pre-read-efail