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Proof step 30 from proof fsync-inode-others-unchanged (previous step)

icache0[m] = mkientry(true, mkinode(m0, md, boolvar, m1, m2, m3)), icache0[m] = mkientry(boolvar0, inode), err = ESUCCESS, files = files0, icache-cons(icache0, dirs, files0), m ∈ icache0 ⊦ [afs_write_inode#(inode; err, dirs, files; asynced1); icache1 := icache0; if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache1)}] (m0 = m ∧ (∀ ino0. ino0 ≠ m ∧ ino0 ∈ files0 → ino0 ∈ files ∧ (files ⊕ icache1)[ino0] = (files0 ⊕ icache0)[ino0]))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
icache0[m] = mkientry(true, mkinode(m0, md, boolvar, m1, m2, m3)), err = ESUCCESS, files = files0, icache-cons(icache0, dirs, files0), m ∈ icache0 ⊦ [afs_write_inode#(mkinode(m0, md, boolvar, m1, m2, m3); err, dirs, files; asynced1); icache1 := icache0; if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache1)}] (m0 = m ∧ (∀ ino0. ino0 ≠ m ∧ ino0 ∈ files0 → ino0 ∈ files ∧ (files ⊕ icache1)[ino0] = (files0 ⊕ icache0)[ino0]))

Rule argument

Additional information

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