import Mathlib /- Original: j = 0), it is locally pure gauge -/ theorem eq_97721d62fd2a1ccb (gauge : ℕ) (is : ℕ) (it : ℕ) (j : ℕ) (locally : ℕ) (pure : ℕ) : j = 0) ∧ it is locally pure gauge := by omega