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Proof step 3 from proof at-truncate-lower (previous step)

key.data?, key.part * VFS_PAGE_SIZE < size, key ∈ pcache ⊦ truncate(ino, size, pcache)[key] = pcache[key]

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
key = datakey(m, m0), key.data?, m0 * VFS_PAGE_SIZE < size, key ∈ pcache ⊦ truncate(ino, size, pcache)[key] = pcache[key]

Rule argument

spec: key name: elim-02 seq: ⊦ key.data? → (m = key.ino ∧ m0 = key.part ↔ key = datakey(m, m0)) subst: [key, m, m0] → [key, m, m0]

Additional information

Used simplifier rules: ⊦ key.data? → (m = key.ino ∧ m0 = key.part ↔ key = datakey(m, m0)); (elim) Used terms: key, m, m0