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Proof step 36 from proof fsync-pages-keep-abs (previous step)

pcache[datakey(m, n)] = mkpentry(true, buf0), err = ESUCCESS, (files ⊕ pcache) ⊕ icache = (files1 ⊕ pcache0) ⊕ icache, n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), datakey(m, n) ∈ pcache ⊦ [afs_writepage#(mkinode(m, md, boolvar, m0, m1, m2), n, pcache[datakey(m, n)].page, dirs; err, files; asynced1); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced1); if err = ESUCCESS then {asynced := false; pcache_set_status#(m, n, asynced; err, pcache)}; n := n + 1] ((files1 ⊕ pcache0) ⊕ icache = (files ⊕ pcache) ⊕ icache)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 37:
pcache[datakey(m, n)] = mkpentry(true, buf0), pcache[datakey(m, n)] = mkpentry(boolvar0, buf), err = ESUCCESS, (files ⊕ pcache) ⊕ icache = (files1 ⊕ pcache0) ⊕ icache, n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), datakey(m, n) ∈ pcache ⊦ [afs_writepage#(mkinode(m, md, boolvar, m0, m1, m2), n, buf, dirs; err, files; asynced1); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced1); if err = ESUCCESS then {asynced := false; pcache_set_status#(m, n, asynced; err, pcache)}; n := n + 1] ((files1 ⊕ pcache0) ⊕ icache = (files ⊕ pcache) ⊕ icache)

Rule argument

spec: pcache-entry name: elim seq: ⊦ (boolvar ↔ pe.dirty) ∧ buf = pe.page ↔ pe = mkpentry(boolvar, buf) subst: [pe, boolvar, buf] → [pcache[datakey(m, n)], boolvar0, buf]

Additional information

Used simplifier rules: ⊦ (boolvar ↔ pe.dirty) ∧ buf = pe.page ↔ pe = mkpentry(boolvar, buf); (elim) Used terms: pcache[datakey(m, n)], boolvar0, buf