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Proof step 5 from proof datalkeys-drop-orphans (previous step)

key0.ino = key.ino, key0.data?, key.inode?, ro.inodes?, n ≤ key0.part * VFS_PAGE_SIZE ⊦ key0 ∈ ri ⊖ ro ↔ key0 ∈ ri, key ∈ ro

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 6:
key0.ino = m, key = inodekey(m), key0.data?, key.inode?, ro.inodes?, n ≤ key0.part * VFS_PAGE_SIZE ⊦ key0 ∈ ri ⊖ ro ↔ key0 ∈ ri, key ∈ ro

Rule argument

spec: key name: elim-01 seq: ⊦ key.inode? → (m = key.ino ↔ key = inodekey(m)) subst: [key, m] → [key, m]

Additional information

Used simplifier rules: ⊦ key.inode? → (m = key.ino ↔ key = inodekey(m)); (elim) Used terms: key, m