diff --git a/src/topology/continuous_on.lean b/src/topology/continuous_on.lean index 6c5c976d0ecc2..d900b31a04991 100644 --- a/src/topology/continuous_on.lean +++ b/src/topology/continuous_on.lean @@ -279,7 +279,7 @@ have ∀ t, is_open (s.restrict f ⁻¹' t) ↔ ∃ (u : set α), is_open u ∧ begin intro t, rw [is_open_induced_iff, set.restrict_eq, set.preimage_comp], - simp only [preimage_coe_eq_preimage_coe_iff], + simp only [subtype.preimage_coe_eq_preimage_coe_iff], split; { rintros ⟨u, ou, useq⟩, exact ⟨u, ou, useq.symm⟩ } end, by rw [continuous_on_iff_continuous_restrict, continuous]; simp only [this] @@ -290,7 +290,7 @@ have ∀ t, is_closed (s.restrict f ⁻¹' t) ↔ ∃ (u : set α), is_closed u begin intro t, rw [is_closed_induced_iff, set.restrict_eq, set.preimage_comp], - simp only [preimage_coe_eq_preimage_coe_iff] + simp only [subtype.preimage_coe_eq_preimage_coe_iff] end, by rw [continuous_on_iff_continuous_restrict, continuous_iff_is_closed]; simp only [this]