| # ax1 = # ndx, new(ax1, fs), key ∈ ri, key ∈ ri → ri[key] ∈ fs ∧ key-cons(key, fs[ri[key]]) ⊦ (ri[key] ∈ fs ∨ ri[key] ∈ ax1) ∧ key-cons(key, fs[ax1, ndx][ri[key]]) |
# ax1 = # ndx, key-cons(key, fs[ri[key]]), new(ax1, fs), key ∈ ri, ri[key] ∈ fs ⊦ key-cons(key, fs[ax1, ndx][ri[key]])