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Proof step 33 from proof transitivity (previous step)

ino < ino1, key1.ino < ino1, key1.ino ≤ ino, ino1 < key1.ino ∨ key1.dentry? ∧ ino1 = key1.ino ∧ str < key1.name ∨ key1.data? ∧ ino1 = key1.ino ⊦ key1.data? ∧ ino = key1.ino ∧ ino0 < key1.part

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
key1.ino < ino1, ino < ino1, key1.ino ≤ ino, key1.dentry? ∧ ino1 = key1.ino ∧ str < key1.name ∨ key1.data? ∧ ino1 = key1.ino ⊦ key1.data? ∧ ino = key1.ino ∧ ino0 < key1.part

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → ¬ n < m; (s)