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Proof step 29 from proof fsync-inode-inv (previous step)

files[m] = mkfile(m0, md0, # links(m, dirs), content), icache[m] = mkientry(true, inode1), err = ESUCCESS, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, m ∈ icache ⊦ ⟪afs_write_inode#(inode1; err, dirs, files; asynced1); inode := inode1; if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ afs-cons(dirs, files) ∧ synced(dirs, icache, pcache) ∧ inode.ino ∈ files ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory)

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: afs-asm name: inv-write_inode seq: afs-cons(dirs, files), pre-write-inode(inode, dirs, files) ⊦ ⟪afs_write_inode#(inode; err, dirs, files; asynced)⟫ afs-cons(dirs, files) subst: [inode, files, dirs, err, asynced] → [inode1, files, dirs, err, asynced1] flags: List([[1,0,0]])

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