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Proof step 4 from proof at-pcache-overwrite-other (previous step)

files[ino] = mkfile(m, md, m0, content) ⊦ ino = key0.ino, mkfile(m, md, m0, content ⊕ mkcontent(ino, pcache[key0, pe])) = mkfile(m, md, m0, content ⊕ mkcontent(ino, pcache))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0
Proof step 6:
files[ino] = mkfile(m, md, m0, content) ⊦ ino = key0.ino, m = m ∧ md = md ∧ m0 = m0 ∧ content ⊕ mkcontent(ino, pcache[key0, pe]) = content ⊕ mkcontent(ino, pcache)

Rule argument

spec: abstract-file name: inj seq: ⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0 subst: [content0, m2, md0, m1, content, m0, md, m] → [content ⊕ mkcontent(ino, pcache), m0, md, m, content ⊕ mkcontent(ino, pcache[key0, pe]), m0, md, m] flags: <all paths>

Additional information

Used terms: content ⊕ mkcontent(ino, pcache), m0, md, m, content ⊕ mkcontent(ino, pcache[key0, pe]), m0, md, m