[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 147 from proof overwrite-write-page-clean (previous step)

files[ino] = mkfile(m2, md0, m3, content0), icache[ino] = mkientry(boolvar, mkinode(m0, md, false, m1, m4, m5)), ino ∈ icache, ino ∈ files ⊦ (content0 ⊕ mkcontent(ino, pcache))[m, buf][n] = content0[m, buf][n], datakey(ino, n) = datakey(ino, m), n ∈ content0, datakey(ino, n) ∈ pcache

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 148:
⊦ n ≠ n0 → content[n0, buf][n] = content[n]
Proof step 149:
icache[ino] = mkientry(boolvar, mkinode(m0, md, false, m1, m4, m5)), files[ino] = mkfile(m2, md0, m3, content0), ino ∈ files, ino ∈ icache ⊦ (content0 ⊕ mkcontent(ino, pcache))[n] = content0[m, buf][n], datakey(ino, n) = datakey(ino, m), n = m, datakey(ino, n) ∈ pcache, n ∈ content0

Rule argument

spec: store, inst: file-content name: At-other seq: ⊦ n ≠ n0 → content[n0, buf][n] = content[n] subst: [n, buf, n0, content] → [n, buf, m, content0 ⊕ mkcontent(ino, pcache)] flags: <all paths>

Additional information

Used terms: n, buf, m, content0 ⊕ mkcontent(ino, pcache)