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Proof step 2 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 simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
key.data?, key.part * VFS_PAGE_SIZE < size, key ∈ pcache ⊦ truncate(ino, size, pcache)[key] = pcache[key]

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic