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Mathlib/Topology/ContinuousMap/Basic.lean
@@ -542,16 +542,6 @@ def _root_.Homeomorph.Set.preimageVal {s t : Set α} (h : s ⊆ t) : s ≃ₜ t
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invFun := preimageValIncl
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continuous_invFun := ContinuousMap.continuous _
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-open Set in
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-lemma _root_.Topology.IsEmbedding.inclPreimageVal {s t : Set α} (h : s ⊆ t) :
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- Topology.IsEmbedding (inclPreimageVal h) where
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- eq_induced := by
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- ext u
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- simp_rw [isOpen_induced_iff, ContinuousMap.inclPreimageVal, ContinuousMap.coe_mk]
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- unfold inclusionPreimageVal
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- simp [preimage_preimage]
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- injective x y heq := by simpa [inclusionPreimageVal, Subtype.val_inj] using heq
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-
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end preimage_val
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end ContinuousMap
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