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Proof step 6 from proof repalyone-monotonic (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
key ∈ replay-one(adr, fs[adr], ri0), ∀ key. key ∈ ri0 → key ∈ ri1 ⊦ key ∈ replay-one(adr, fs[adr], ri1)

Rule argument

Additional information

Used simplifier rules: ⊦ key ∈ dom ri ↔ key ∈ ri; (s)