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