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Proof step 25 from proof del-merge-dels (
previous step
)
key ∈ ks, key0 ∈ ri ⊦ # ks = 0, (ri ⊖ key)[key0] = ri[key0], ks = ∅, key0.data?, key0 ∈ ks
User applied rule insert rewrite lemma
And obtained the following new goals
Proof step 26
:
⊦ key ∈ ri ∧ key ≠ key0 ∧ ¬ key.data? → (ri ⊖ key0)[key] = ri[key]
Rule argument
spec: <toplevel> name: at-del-ro-nodata seq: ⊦ key ∈ ri ∧ key ≠ key0 ∧ ¬ key.data? → (ri ⊖ key0)[key] = ri[key] subst: [key, key0, ri] → [key0, key, ri] flags: <all paths>
Additional information
Used terms: key0, key, ri