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Proof step 11 from proof lookup-rem-inj-range-inter-empty (
previous step
)
ri[key0] = ri[key], key0 ∈ ri, key ∈ ks, key ∈ ri, ∀ key0, key1. key0 ∈ ri ∧ key1 ∈ ri ∧ ri[key0] = ri[key1] → key0 = key1 ⊦ # ks = 0, #(ri[ks] ∩ range(ri \ ks)) = 0, ks = ∅, key0 ∈ ks
Heuristic quantifier closing applied rule all left
And closed the goal!
Rule argument
pos: left 5 terms: key0, key
Additional information
Used terms: key0, key