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Proof step 2 from proof del-put-again (previous step)

inodekey(m) ∈ ks ⊦ ri[inodekey(m), adr] ⊖ ks = ri ⊖ ks

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
inodekey(m) ∈ ks ⊦ # ks = 0, ks = ∅, ri[inodekey(m), adr] ⊖ ks = ri ⊖ ks

Rule argument

Additional information

Used simplifier rules: size-zero-01: ⊦ ks ≠ ∅ → # ks ≠ 0; (forward) from specification set-basic[node-index]%ne-01: ⊦ key ∈ ks → ks ≠ ∅; (forward) from specification set-basic[node-index]