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Proof step 19 from proof inv-evict (previous step)

key ∈ evict(ino, pcache0), ∀ key, ino. key ∈ evict(ino, pcache0) ∧ (∀ key. key ∈ pcache0 → key.data?) → key.data? ∧ key.ino ≠ ino, ∀ key. key ∈ pcache0[datakey(ino0, ino1), pe] → key.data? ⊦ ino = ino0, key.data? ∧ key.ino ≠ ino

User applied rule all left

And obtained the following new goals

Proof step 20:
key ∈ evict(ino, pcache0), key ∈ evict(ino, pcache0) ∧ (∀ key. key ∈ pcache0 → key.data?) → key.data? ∧ key.ino ≠ ino, ∀ key. key ∈ pcache0[datakey(ino0, ino1), pe] → key.data?, ∀ key, ino. key ∈ evict(ino, pcache0) ∧ (∀ key. key ∈ pcache0 → key.data?) → key.data? ∧ key.ino ≠ ino ⊦ ino = ino0, key.data? ∧ key.ino ≠ ino

Rule argument

pos: left 2 terms: key, ino abort: F discard: F computed: T

Additional information

Used terms: key, ino