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Proof step 14 from proof fsync-inode-err (previous step)

asynced0, err = ESUCCESS, inode = mkinode(m, md, boolvar, m0, m1, m2), icache[m].dirty, m ∈ icache ⊦ [icache_get#(m, icache; asynced0, inode, err); if err = ESUCCESS ∧ asynced0 then afs_write_inode#(inode; err, dirs, files; asynced1); if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}] (err = ESUCCESS ∨ ⌊err⌋ )

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
icache[m] = mkientry(boolvar0, inode0), asynced0, boolvar0, err = ESUCCESS, inode = mkinode(m, md, boolvar, m0, m1, m2), m ∈ icache ⊦ [icache_get#(m, icache; asynced0, inode, err); if err = ESUCCESS ∧ asynced0 then afs_write_inode#(inode; err, dirs, files; asynced1); if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}] (err = ESUCCESS ∨ ⌊err⌋ )

Rule argument

spec: icache-entry name: elim seq: ⊦ (boolvar ↔ ie.dirty) ∧ inode = ie.inode ↔ ie = mkientry(boolvar, inode) subst: [ie, boolvar, inode] → [icache[m], boolvar0, inode0]

Additional information

Used simplifier rules: ⊦ (boolvar ↔ ie.dirty) ∧ inode = ie.inode ↔ ie = mkientry(boolvar, inode); (elim) Used terms: icache[m], boolvar0, inode0