∀ (R : Type u_1) (M : Type u_2) {N : Type u_4} (ι : Type u_6) [inst : Semiring R] [inst_1 : AddCommMonoid M]
  [inst_2 : Module R M] [inst_3 : TopologicalSpace M] [inst_4 : AddCommMonoid N] [inst_5 : Module R N]
  [inst_6 : TopologicalSpace N] [inst_7 : IsEmpty ι] (m m_1 : N),
  m = m_1 → ContinuousAlternatingMap.constOfIsEmpty R M ι m = ContinuousAlternatingMap.constOfIsEmpty R M ι m_1