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Proof step 4 from proof at-truncate-other (previous step)

datakey(m, m0) ∈ pcache ⊦ truncate(ino, size, pcache)[datakey(m, m0)] = pcache[datakey(m, m0)], ino = m

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ key.data? ∧ key ∈ pcache ∧ (key.part * VFS_PAGE_SIZE < size ∨ ino ≠ key.ino) → truncate(ino, size, pcache)[key] = pcache[key]

Rule argument

spec: <toplevel> name: at-truncate seq: ⊦ key.data? ∧ key ∈ pcache ∧ (key.part * VFS_PAGE_SIZE < size ∨ ino ≠ key.ino) → truncate(ino, size, pcache)[key] = pcache[key] subst: [key, pcache, size, ino] → [datakey(m, m0), pcache, size, ino] flags: <all paths>

Additional information

Used simplifier rules: ⊦ datakey(m, m0).data?; (s)% ⊦ datakey(m, m0).part = m0; (s)% ⊦ datakey(m, m0).ino = m; (s) Used terms: datakey(m, m0), pcache, size, ino