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Proof step 4 from proof fsync-inode-keep-abs (previous step)

icache-cons(icache, dirs, files) ⊦ [icache_check_inode#(inode.ino, icache; asynced0, asynced, err); ino := inode.ino; if err = ESUCCESS ∧ asynced0 ∧ asynced then icache_get#(ino, icache; asynced0, inode, err); files0 := (files ⊕ pcache) ⊕ icache; if err = ESUCCESS ∧ asynced0 ∧ asynced then afs_write_inode#(inode; err, dirs, files; asynced1); if err = ESUCCESS then {asynced := false; icache_set_status#(ino, asynced; err, icache)}] (files0 = (files ⊕ pcache) ⊕ icache)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 5:
inode = mkinode(m, md, boolvar, m0, m1, m2), icache-cons(icache, dirs, files) ⊦ [icache_check_inode#(m, icache; asynced0, asynced, err); ino := m; if err = ESUCCESS ∧ asynced0 ∧ asynced then icache_get#(ino, icache; asynced0, inode, err); files0 := (files ⊕ pcache) ⊕ icache; if err = ESUCCESS ∧ asynced0 ∧ asynced then afs_write_inode#(inode; err, dirs, files; asynced1); if err = ESUCCESS then {asynced := false; icache_set_status#(ino, asynced; err, icache)}] (files0 = (files ⊕ pcache) ⊕ icache)

Rule argument

spec: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [inode, m, md, boolvar, m0, m1, m2]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: inode, m, md, boolvar, m0, m1, m2