| mk(rs, f) = (∅ ++ r)[r, o], ∀ r. r ∈ rs → g(r) = a ⊦ r = null, r ∈ rs |
⊦ H0 = H1 ↔ (∀ r. (r ∈ H0 ↔ r ∈ H1) ∧ (r ∈ H0 → H0[r] = H1[r]))
∀ r. r ∈ rs → g(r) = a, ∀ r0. (r0 ∈ mk(rs, f) ↔ r0 ∈ (∅ ++ r)[r, o]) ∧ (r0 ∈ mk(rs, f) → mk(rs, f)[r0] = (∅ ++ r)[r, o][r0]) ⊦ r = null, r ∈ rs
Used terms: (∅ ++ r)[r, o], mk(rs, f)