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Proof step 6 from proof fsync-pages-overwrite (previous step)

files0[m] = mkfile(m0, md0, m1, content), files = files0, pcache0 = pcache, afs-cons(dirs, files0), pcache-cons(pcache, dirs, files0), m ∈ files0 ⊦ [cache_fsync-pages#(mkinode(m, md, false, m1, 0, m2), dirs; err, files, pcache, asynced)] (err = ESUCCESS → files[m].content:= (files[m].content upto m2) = mkfile(m0, md0, m1, (content ⊕ mkcontent(m, pcache0)) upto m2))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
files0[m] = mkfile(m0, md0, # links(m, dirs), content), pcache0 = pcache, afs-cons(dirs, files0), pcache-cons(pcache, dirs, files0), m ∈ files0 ⊦ [cache_fsync-pages#(mkinode(m, md, false, # links(m, dirs), 0, m2), dirs; err, files0, pcache, asynced)] ( err = ESUCCESS → files0[m].content:= (files0[m].content upto m2) = mkfile(m0, md0, # links(m, dirs), (content ⊕ mkcontent(m, pcache0)) upto m2))

Rule argument

Additional information

Used simplifier rules: afs-cons-file-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n, content) → # links(ino, dirs) = n; (forward) from specification afs-base