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

files0[m] = mkfile(m0, md0, m1, content), icache[m] = mkientry(true, inode0), icache[m] = mkientry(boolvar, inode1), err = ESUCCESS, files = files0, icache-cons(icache, dirs, files0), m ∈ icache, m ∈ files0 ⊦ [afs_write_inode#(inode1; err, dirs, files; asynced1); icache0 := icache; inode := inode1; if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}] (err = ESUCCESS → files[inode.ino] = (files0 ⊕ icache0)[inode.ino])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 30:
icache[m] = mkientry(true, inode1), files0[m] = mkfile(m0, md0, m1, content), err = ESUCCESS, files = files0, icache-cons(icache, dirs, files0), m ∈ files0, m ∈ icache ⊦ [afs_write_inode#(inode1; err, dirs, files; asynced1); icache0 := icache; inode := inode1; if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}] (err = ESUCCESS → files[inode.ino] = (files0 ⊕ icache0)[inode.ino])

Rule argument

Additional information

Used simplifier rules: ⊦ mkientry(boolvar, inode) = mkientry(boolvar0, inode0) ↔ (boolvar ↔ boolvar0) ∧ inode = inode0; (ws)