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Proof step 1 from proof keys-at-other (conclusion)
⊦ # kx = # ax ∧ key ∈ ri ∧ ¬ key ∈ kx → ri[kx, ax][key] = ri[key]
System applied rule normalize
And obtained the following new goals
Proof step 2
:
# kx = # ax, key ∈ ri ⊦ ri[kx, ax][key] = ri[key], key ∈ kx
Rule argument
Additional information