[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 28 from proof overwrite-write-page-dirty (previous step)

files[ino] = mkfile(m4, md0, m5, content), icache[ino] = mkientry(boolvar, mkinode(m0, md, true, m1, m2, m3)), ino ∈ icache, ino ∈ files ⊦ n ∈ content ⊕ mkcontent(ino, pcache) ↔ n ∈ content ⊕ mkcontent(ino, pcache[datakey(ino, m), mkpentry(true, buf)]), n = m

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 29:
⊦ n ∈ content0 ⊕ content1 ↔ n ∈ content0 ∨ n ∈ content1
Proof step 30:
icache[ino] = mkientry(boolvar, mkinode(m0, md, true, m1, m2, m3)), files[ino] = mkfile(m4, md0, m5, content), ino ∈ files, ino ∈ icache ⊦ n ∈ content ⊕ mkcontent(ino, pcache) ↔ n ∈ content ∨ n ∈ mkcontent(ino, pcache[datakey(ino, m), mkpentry(true, buf)]), n = m

Rule argument

spec: <toplevel> name: in-overwrite-content seq: ⊦ n ∈ content0 ⊕ content1 ↔ n ∈ content0 ∨ n ∈ content1 subst: [content1, content0, n] → [mkcontent(ino, pcache[datakey(ino, m), mkpentry(true, buf)]), content, n] flags: <all paths>

Additional information

Used terms: mkcontent(ino, pcache[datakey(ino, m), mkpentry(true, buf)]), content, n