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Proof step 7 from proof repalyone-monotonic (previous step)

key ∈ replay-one(adr, fs[adr], ri0), ∀ key. key ∈ ri0 → key ∈ ri1 ⊦ key ∈ replay-one(adr, fs[adr], ri1)

User applied rule all left

And obtained the following new goals

Proof step 8:
key ∈ replay-one(adr, fs[adr], ri0), key ∈ ri0 → key ∈ ri1, ∀ key. key ∈ ri0 → key ∈ ri1 ⊦ key ∈ replay-one(adr, fs[adr], ri1)

Rule argument

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

Additional information

Used terms: key